Depends on type. Grounding inputs is very common. Or VEE, or VCC or something inbetween. Or a skewed state (one input above the other, so the output is fixed high or low), or a follower connection (+in = VREF, -in = out) so it can do its job as usual (i.e., amplifying with feedback, you're just not using the signal).
Incorrect setting can cause problems, because multi-part amps often share bias circuitry. Causing one section's circuitry to saturate (inputs exceeding common mode range, output saturating?) can cause problems in the others. This is usually not a problem on modern parts, but RTFDS to be sure.
Tim