56625984 has 84 divisors (see below), whose sum is σ = 166757604. Its totient is φ = 18358272.

The previous prime is 56625973. The next prime is 56625991. The reversal of 56625984 is 48952665.

56625984 = T₁₇₃₁ + T₁₇₃₂ + ... + T₁₇₆₇.

56625984 is a `hidden beast` number, since 56 + 6 + 2 + 598 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 12110400 = 6672^2 + 3480^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19984 + ... + 22640.

Almost surely, 2^56625984 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 56625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83378802).

56625984 is an abundant number, since it is smaller than the sum of its proper divisors (110131620).

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

56625984 is a wasteful number, since it uses less digits than its factorization.

56625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2699 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56625984 is about 7525.0238537828. The cubic root of 56625984 is about 384.0065103063.

The spelling of 56625984 in words is "fifty-six million, six hundred twenty-five thousand, nine hundred eighty-four".