56896560 has 320 divisors, whose sum is σ = 231413760. Its totient is φ = 12579840.

The previous prime is 56896559. The next prime is 56896573. The reversal of 56896560 is 6569865.

56896560 is a `hidden beast` number, since 5 + 6 + 89 + 6 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801325 + ... + 801395.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 2^56896560 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 56896560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

56896560 is an abundant number, since it is smaller than the sum of its proper divisors (174517200).

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

56896560 is a wasteful number, since it uses less digits than its factorization.

56896560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

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

The square root of 56896560 is about 7542.9808431415. The cubic root of 56896560 is about 384.6171716020.

The spelling of 56896560 in words is "fifty-six million, eight hundred ninety-six thousand, five hundred sixty".