56656260 has 120 divisors (see below), whose sum is σ = 182281176. Its totient is φ = 14722560.

The previous prime is 56656247. The next prime is 56656273. The reversal of 56656260 is 6265665.

It is an interprime number because it is at equal distance from previous prime (56656247) and next prime (56656273).

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 53670276 = 1728^2 + 7326^2 .

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 39 ways as a sum of consecutive naturals, for example, 65994 + ... + 66846.

Almost surely, 2^56656260 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 56656260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140588).

56656260 is an abundant number, since it is smaller than the sum of its proper divisors (125624916).

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

56656260 is a wasteful number, since it uses less digits than its factorization.

56656260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56656260 is about 7527.0352729345. The cubic root of 56656260 is about 384.0749365473.

The spelling of 56656260 in words is "fifty-six million, six hundred fifty-six thousand, two hundred sixty".