56565440 has 56 divisors (see below), whose sum is σ = 137598912. Its totient is φ = 22138880.

The previous prime is 56565433. The next prime is 56565473. The reversal of 56565440 is 4456565.

It is a Cunningham number, because it is equal to 7521²-1.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56565440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13160 + ... + 16920.

Almost surely, 2^56565440 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 56565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68799456).

56565440 is an abundant number, since it is smaller than the sum of its proper divisors (81033472).

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

56565440 is a wasteful number, since it uses less digits than its factorization.

56565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 56565440 is about 7520.9999335195. Note that the first 4 decimals coincide. The cubic root of 56565440 is about 383.8696027159.

The spelling of 56565440 in words is "fifty-six million, five hundred sixty-five thousand, four hundred forty".