56536560 has 240 divisors, whose sum is σ = 208915200. Its totient is φ = 13639680.

The previous prime is 56536559. The next prime is 56536603. The reversal of 56536560 is 6563565.

It is a happy number.

56536560 is a `hidden beast` number, since 5 + 65 + 36 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 379366 + ... + 379514.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^56536560 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 56536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

56536560 is an abundant number, since it is smaller than the sum of its proper divisors (152378640).

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

56536560 is a wasteful number, since it uses less digits than its factorization.

56536560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 56536560 is about 7519.0797309245. The cubic root of 56536560 is about 383.8042622220.

The spelling of 56536560 in words is "fifty-six million, five hundred thirty-six thousand, five hundred sixty".