56164320 has 96 divisors (see below), whose sum is σ = 196590240. Its totient is φ = 14976000.

The previous prime is 56164309. The next prime is 56164331. The reversal of 56164320 is 2346165.

56164320 is a `hidden beast` number, since 5 + 616 + 43 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56164309) and next prime (56164331).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181 + ... + 10820.

It is an arithmetic number, because the mean of its divisors is an integer number (2047815).

Almost surely, 2^56164320 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 56164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98295120).

56164320 is an abundant number, since it is smaller than the sum of its proper divisors (140425920).

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

56164320 is a wasteful number, since it uses less digits than its factorization.

56164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13025 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56164320 is about 7494.2858232122. The cubic root of 56164320 is about 382.9600769172.

The spelling of 56164320 in words is "fifty-six million, one hundred sixty-four thousand, three hundred twenty".