56576 has 36 divisors (see below), whose sum is σ = 128772. Its totient is φ = 24576.

The previous prime is 56569. The next prime is 56591. The reversal of 56576 is 67565.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 30976 = 160^2 + 176^2 .

It is a nialpdrome in base 9 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3320 + ... + 3336.

It is an arithmetic number, because the mean of its divisors is an integer number (3577).

2⁵⁶⁵⁷⁶ 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 56576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64386).

56576 is an abundant number, since it is smaller than the sum of its proper divisors (72196).

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

56576 is a wasteful number, since it uses less digits than its factorization.

56576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 32 counting only the distinct ones).

The product of its digits is 6300, while the sum is 29.

The square root of 56576 is about 237.8570999571. The cubic root of 56576 is about 38.3893488978.

The spelling of 56576 in words is "fifty-six thousand, five hundred seventy-six".