Multipling 46656 by its sum of digits (27), we get a cube (1259712 = 1083).
46656 divided by its sum of digits (27) gives a cube (1728 = 123).
The square root of 46656 is 216.
The cubic root of 46656 is 36.
It is a Jordan-Polya number, since it can be written as (3!)6.
46656 is a `hidden beast` number, since 4 + 6 + 656 = 666.
It is a Duffinian number.
It is a nialpdrome in base 6, base 9 and base 16.
It is an unprimeable number.
46656 is a Friedman number, since it can be written as 6^(6+5-4)/6, using all its digits and the basic arithmetic operations.
246656 is an apocalyptic number.
46656 is the 216-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46656
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46656 is an frugal number, since it uses more digits than its factorization.
46656 is an evil number, because the sum of its binary digits is even.
The spelling of 46656 in words is "forty-six thousand, six hundred fifty-six".