56640625 has 20 divisors (see below), whose sum is σ = 73242180. Its totient is φ = 43750000.

The previous prime is 56640613. The next prime is 56640637. The reversal of 56640625 is 52604665.

It is an interprime number because it is at equal distance from previous prime (56640613) and next prime (56640637).

It can be written as a sum of positive squares in 10 ways, for example, as 1420864 + 55219761 = 1192^2 + 7431^2 .

It is not a de Polignac number, because 56640625 - 2²¹ = 54543473 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1953111 + ... + 1953139.

It is an arithmetic number, because the mean of its divisors is an integer number (3662109).

Almost surely, 2^56640625 is an apocalyptic number.

It is an amenable number.

56640625 is a deficient number, since it is larger than the sum of its proper divisors (16601555).

56640625 is an frugal number, since it uses more digits than its factorization.

56640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 56640625 is about 7525.9966117452. The cubic root of 56640625 is about 384.0396032107.

The spelling of 56640625 in words is "fifty-six million, six hundred forty thousand, six hundred twenty-five".