56689920 has 432 divisors, whose sum is σ = 242336640. Its totient is φ = 11943936.

The previous prime is 56689909. The next prime is 56689931. The reversal of 56689920 is 2998665.

56689920 = 725² + 726² + ... + 819².

56689920 is a `hidden beast` number, since 566 + 89 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56689909) and next prime (56689931).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532142 + ... + 1532178.

Almost surely, 2^56689920 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 56689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121168320).

56689920 is an abundant number, since it is smaller than the sum of its proper divisors (185646720).

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

56689920 is a wasteful number, since it uses less digits than its factorization.

56689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 56689920 is about 7529.2708810349. The cubic root of 56689920 is about 384.1509822952.

The spelling of 56689920 in words is "fifty-six million, six hundred eighty-nine thousand, nine hundred twenty".