56968560 has 120 divisors (see below), whose sum is σ = 208741104. Its totient is φ = 13808640.

The previous prime is 56968553. The next prime is 56968589. The reversal of 56968560 is 6586965.

56968560 is a `hidden beast` number, since 569 + 6 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4324 + ... + 11516.

Almost surely, 2^56968560 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 56968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104370552).

56968560 is an abundant number, since it is smaller than the sum of its proper divisors (151772544).

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

56968560 is a wasteful number, since it uses less digits than its factorization.

56968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 56968560 is about 7547.7519832067. The cubic root of 56968560 is about 384.7793417073.

The spelling of 56968560 in words is "fifty-six million, nine hundred sixty-eight thousand, five hundred sixty".