It is a tau number, because it is divible by the number of its divisors (48).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53664.
It is an unprimeable number.
253664 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 53664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53664 is a wasteful number, since it uses less digits than its factorization.
53664 is an evil number, because the sum of its binary digits is even.
The square root of 53664 is about 231.6549157691. The cubic root of 53664 is about 37.7190732477.
The spelling of 53664 in words is "fifty-three thousand, six hundred sixty-four".