56264560 has 80 divisors (see below), whose sum is σ = 151142112. Its totient is φ = 19251200.

The previous prime is 56264557. The next prime is 56264573. The reversal of 56264560 is 6546265.

56264560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13080 + ... + 16840.

Almost surely, 2^56264560 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 56264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571056).

56264560 is an abundant number, since it is smaller than the sum of its proper divisors (94877552).

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

56264560 is a wasteful number, since it uses less digits than its factorization.

56264560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 56264560 is about 7500.9706038619. The cubic root of 56264560 is about 383.1877725013.

The spelling of 56264560 in words is "fifty-six million, two hundred sixty-four thousand, five hundred sixty".