56401164 has 24 divisors (see below), whose sum is σ = 146225520. Its totient is φ = 18800352.

The previous prime is 56401159. The next prime is 56401207. The reversal of 56401164 is 46110465.

56401164 is a `hidden beast` number, since 5 + 640 + 1 + 16 + 4 = 666.

56401164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 261009 + ... + 261224.

It is an arithmetic number, because the mean of its divisors is an integer number (6092730).

Almost surely, 2^56401164 is an apocalyptic number.

56401164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56401164 is an abundant number, since it is smaller than the sum of its proper divisors (89824356).

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

56401164 is a wasteful number, since it uses less digits than its factorization.

56401164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522246 (or 522238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56401164 is about 7510.0708385474. The cubic root of 56401164 is about 383.4976340847.

It can be divided in two parts, 56401 and 164, that added together give a palindrome (56565).

The spelling of 56401164 in words is "fifty-six million, four hundred one thousand, one hundred sixty-four".