I don't think all the nuclear weapons on the earth, detonated simultaneously, would have any affect at all on even the smallest of hurricanes. I once had the students in my intro chemistry course do some rough thermodynamics calculations on the topic. Essentially, if you assume that all of the thermal energy of the nuclear detonation is converted into expansion work and that this work is exerted specifically on the eye, what you come up with is that a single Hiroshima sized bomb would cause the radius of the eye of a strong hurricane to expand by around 30 cm.

The real problem, though, is that this represents an extreme upper limit on the effect that the nuclear weapon would have. Since most of a nuclear weapon's energy is in the initial impulse, most of it will pass through the hurricane with no effect whatsoever.

Perhaps we should target not the eye but the periphery? The point would be not so much to destroy as deflect the hurricane while also fragmenting it. Instead of dropping one in the eye, blow up several nukes around it.

Another point to consider is we can try to use a nuclear explosion in order to prevent a hurricane from forming if we catch it early enough. Is that possible?

I do doubt that we can routinely nuke hurricanes (even ignoring the radiation effects), but looking at just the mechanical effects, I think it would be interesting to take another look at the picture. I am not sure that the effects of turbulence can be calculated, but how much can we get from the first principles?

BTW, Hiroshima was about 15 kt, if I am not mistaken, and the average modern nuke is on the order of 400 kt.

Ultimately, regardless of power, the point is that a nuke's energy is in the impulse. It's destructive to solid material (like buildings and humans), but the impulse travels through the air similar to a sound wave. It's like trying to stop a Tsunami using an underwater nuke. You'd just have two waves interface, and continue moving on their merry way.

Can we make them cancel each other?