60hz is noise to some signal to others, it really depends on what noise you're talking about, all sources of noise are not created equal. On most micro controller ADCs you can't even technically get the full precision that it's bit depth would suggest without special shut down modes and capacitors for the voltage reference, the least one or two significant bits will effectively be random, you can get those bits back by averaging over time without additional circuit components however if you do 16 sample averaging you lower the effective sampling rate by 16 as well.