56966976 has 224 divisors, whose sum is σ = 189951360. Its totient is φ = 16796160.

The previous prime is 56966969. The next prime is 56966977. The reversal of 56966976 is 67966965.

56966976 is a `hidden beast` number, since 569 + 6 + 6 + 9 + 76 = 666.

56966976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3674160) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56966977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539630 + ... + 1539666.

Almost surely, 2^56966976 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 56966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94975680).

56966976 is an abundant number, since it is smaller than the sum of its proper divisors (132984384).

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

56966976 is an equidigital number, since it uses as much as digits as its factorization.

56966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 56966976 is about 7547.6470505715. The cubic root of 56966976 is about 384.7757754354.

The spelling of 56966976 in words is "fifty-six million, nine hundred sixty-six thousand, nine hundred seventy-six".