56576160 has 144 divisors (see below), whose sum is σ = 195478920. Its totient is φ = 14899200.

The previous prime is 56576111. The next prime is 56576173. The reversal of 56576160 is 6167565.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51322896 + 5253264 = 7164^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145246 + ... + 145634.

Almost surely, 2^56576160 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 56576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97739460).

56576160 is an abundant number, since it is smaller than the sum of its proper divisors (138902760).

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

56576160 is a wasteful number, since it uses less digits than its factorization.

56576160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56576160 is about 7521.7125709508. The cubic root of 56576160 is about 383.8938508682.

The spelling of 56576160 in words is "fifty-six million, five hundred seventy-six thousand, one hundred sixty".