That's very interesting I didn't realise that. So it's oversampling ~10x?

The datasheet for the LMS7002 chip seems to indicate its sample rate is 160 MHz? Which you can grab from:

http://www.limemicro.com/products/field-programmable-rf-ics-...

They are not using industry standard terms in the datasheet for some reason. I believe the 160MHz is the analog bandwidth of the device. There is no real-time bandwidth (RTBW/IBW) specification, which is the number the defines the widest channel bandwidth of a device. It is likely that the 60MSPS bandwidth can be shifted within that 160MHz analog bandwidth using the on-chip NCO to hop around.

Could you elaborate on why oversampling is important? With Nyquist I was generally of the impression that 2 x bandwidth should be just fine, but in practice oscilloscopes (just one example) seem to have five times or more sampling rate than bandwidth.

The Nyquist rate is the theoretical minimum that allows you to distinguish one frequency from another. Sampling a higher frequency will cause an alias component to appear. This means that in practice, there must be analog band-limiting before the signal is sampled to reject any out of band signals before they are aliased to an in-band frequency and cannot be removed. The closer the band limiting cutoff comes to the nyquist frequency the more extreme the roll-off requirements for this band-limiting. Oversampling relaxes the band-limiting requirements, and can also increase the bit depth at lower sample rates. See PDM microphones for an example where this is taken to the extreme.