56978496 has 84 divisors (see below), whose sum is σ = 168639744. Its totient is φ = 18374400.

The previous prime is 56978477. The next prime is 56978497. The reversal of 56978496 is 69487965.

56978496 is a `hidden beast` number, since 569 + 78 + 4 + 9 + 6 = 666.

Its product of digits (3265920) is a multiple of the sum of its prime factors (3240).

It is not an unprimeable number, because it can be changed into a prime (56978497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16261 + ... + 19451.

It is an arithmetic number, because the mean of its divisors is an integer number (2007616).

Almost surely, 2^56978496 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 56978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84319872).

56978496 is an abundant number, since it is smaller than the sum of its proper divisors (111661248).

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

56978496 is a wasteful number, since it uses less digits than its factorization.

56978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3227 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 56978496 is about 7548.4101637365. The cubic root of 56978496 is about 384.8017104507.

The spelling of 56978496 in words is "fifty-six million, nine hundred seventy-eight thousand, four hundred ninety-six".