56636560 has 20 divisors (see below), whose sum is σ = 131680188. Its totient is φ = 22654592.

The previous prime is 56636543. The next prime is 56636563. The reversal of 56636560 is 6563665.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 12759184 = 6624^2 + 3572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (56636563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353899 + ... + 354058.

Almost surely, 2^56636560 is an apocalyptic number.

It is an amenable number.

56636560 is an abundant number, since it is smaller than the sum of its proper divisors (75043628).

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

56636560 is a wasteful number, since it uses less digits than its factorization.

56636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707970 (or 707964 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 56636560 is about 7525.7265429990. The cubic root of 56636560 is about 384.0304157042.

The spelling of 56636560 in words is "fifty-six million, six hundred thirty-six thousand, five hundred sixty".