Is a very variable and personal thing. Some folk are naturally faster than others. 60 is pretty good for a 'reasonably trained' cyclist. Depends on if this is a 'true' resting, i.e. taken first thing in the morning lying down, totally relaxed and rested.
The main use of tracking resting HR is in noting fatigue as this will cause the resting level to rise a little, though a better measure is something called heart rate variability which measures the intervals between the heart beats that occur sychronous with respiration. Won't bore you with that, as believe me I could...
Out of interest the lowest I've heard of was Miguel Indurain who's resting was reported at 28! Mind you he was probably so dosed with EPO his blood was like jam (allegedly legal types).