56518560 has 360 divisors, whose sum is σ = 234635940. Its totient is φ = 12773376.

The previous prime is 56518543. The next prime is 56518603. The reversal of 56518560 is 6581565.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 3111696 = 7308^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634996 + ... + 635084.

Almost surely, 2^56518560 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 56518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117317970).

56518560 is an abundant number, since it is smaller than the sum of its proper divisors (178117380).

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

56518560 is a wasteful number, since it uses less digits than its factorization.

56518560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 56518560 is about 7517.8826806489. The cubic root of 56518560 is about 383.7635262804.

The spelling of 56518560 in words is "fifty-six million, five hundred eighteen thousand, five hundred sixty".