56788864 has 64 divisors (see below), whose sum is σ = 125912880. Its totient is φ = 25292800.

The previous prime is 56788861. The next prime is 56788883. The reversal of 56788864 is 46888765.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56788861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74244 + ... + 75004.

Almost surely, 2^56788864 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 56788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62956440).

56788864 is an abundant number, since it is smaller than the sum of its proper divisors (69124016).

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

56788864 is a wasteful number, since it uses less digits than its factorization.

56788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 56788864 is about 7535.8386394614. The cubic root of 56788864 is about 384.3743455956.

Subtracting from 56788864 its reverse (46888765), we obtain a palindrome (9900099).

The spelling of 56788864 in words is "fifty-six million, seven hundred eighty-eight thousand, eight hundred sixty-four".