Yes! Knowing some basic logs is really handy for lots of quick calculations involving larger numbers, not just this one. Highly recommend. My first thought for

Yes! Knowing some basic logs is really handy for lots of quick calculations involving larger numbers, not just this one. Highly recommend. My first thought for how to handle this one was to use logs, which would work even if the original number isn't a perfect cube. Then, since it is, you can use the last-digit trick to zero in from that first approximate answer.