56348864 has 112 divisors (see below), whose sum is σ = 135184896. Its totient is φ = 22963200.

The previous prime is 56348857. The next prime is 56348867. The reversal of 56348864 is 46884365.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56348867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430079 + ... + 430209.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^56348864 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 56348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

56348864 is an abundant number, since it is smaller than the sum of its proper divisors (78836032).

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

56348864 is a wasteful number, since it uses less digits than its factorization.

56348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The square root of 56348864 is about 7506.5880398487. The cubic root of 56348864 is about 383.3790601196.

The spelling of 56348864 in words is "fifty-six million, three hundred forty-eight thousand, eight hundred sixty-four".