56864160 has 96 divisors (see below), whose sum is σ = 199039680. Its totient is φ = 15162624.

The previous prime is 56864149. The next prime is 56864161. The reversal of 56864160 is 6146865.

56864160 is a `hidden beast` number, since 5 + 6 + 8 + 641 + 6 + 0 = 666.

56864160 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56864161) by changing a digit.

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, 2262 + ... + 10901.

It is an arithmetic number, because the mean of its divisors is an integer number (2073330).

Almost surely, 2^56864160 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 56864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99519840).

56864160 is an abundant number, since it is smaller than the sum of its proper divisors (142175520).

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

56864160 is a wasteful number, since it uses less digits than its factorization.

56864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56864160 is about 7540.8328452499. The cubic root of 56864160 is about 384.5441504179.

The spelling of 56864160 in words is "fifty-six million, eight hundred sixty-four thousand, one hundred sixty".