57166720 has 64 divisors (see below), whose sum is σ = 147198240. Its totient is φ = 21104640.

The previous prime is 57166709. The next prime is 57166721. The reversal of 57166720 is 2766175.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57166721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4885 + ... + 11755.

Almost surely, 2^57166720 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 57166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73599120).

57166720 is an abundant number, since it is smaller than the sum of its proper divisors (90031520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57166720 is a wasteful number, since it uses less digits than its factorization.

57166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 57166720 is about 7560.8676750754. The cubic root of 57166720 is about 385.2249655021.

The spelling of 57166720 in words is "fifty-seven million, one hundred sixty-six thousand, seven hundred twenty".