56577920 has 128 divisors (see below), whose sum is σ = 157602240. Its totient is φ = 19021824.

The previous prime is 56577823. The next prime is 56577931. The reversal of 56577920 is 2977565.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×56577920² = 6402122063052800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326954 + ... + 327126.

Almost surely, 2^56577920 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 56577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78801120).

56577920 is an abundant number, since it is smaller than the sum of its proper divisors (101024320).

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

56577920 is a wasteful number, since it uses less digits than its factorization.

56577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 56577920 is about 7521.8295646737. The cubic root of 56577920 is about 383.8978316154.

The spelling of 56577920 in words is "fifty-six million, five hundred seventy-seven thousand, nine hundred twenty".