56256984 has 128 divisors (see below), whose sum is σ = 184896000. Its totient is φ = 15507072.

The previous prime is 56256973. The next prime is 56256997. The reversal of 56256984 is 48965265.

56256984 is a `hidden beast` number, since 5 + 6 + 2 + 569 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43207 + ... + 44489.

It is an arithmetic number, because the mean of its divisors is an integer number (1444500).

Almost surely, 2^56256984 is an apocalyptic number.

56256984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56256984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92448000).

56256984 is an abundant number, since it is smaller than the sum of its proper divisors (128639016).

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

56256984 is a wasteful number, since it uses less digits than its factorization.

56256984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

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

The square root of 56256984 is about 7500.4655855487. The cubic root of 56256984 is about 383.1705730371.

The spelling of 56256984 in words is "fifty-six million, two hundred fifty-six thousand, nine hundred eighty-four".