56966688 has 72 divisors (see below), whose sum is σ = 162908928. Its totient is φ = 18882432.

The previous prime is 56966681. The next prime is 56966719. The reversal of 56966688 is 88666965.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (56966681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63781 + ... + 64667.

It is an arithmetic number, because the mean of its divisors is an integer number (2262624).

Almost surely, 2^56966688 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 56966688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81454464).

56966688 is an abundant number, since it is smaller than the sum of its proper divisors (105942240).

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

56966688 is a wasteful number, since it uses less digits than its factorization.

56966688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 56966688 is about 7547.6279717538. The cubic root of 56966688 is about 384.7751270152.

The spelling of 56966688 in words is "fifty-six million, nine hundred sixty-six thousand, six hundred eighty-eight".