256164 has 12 divisors (see below), whose sum is σ = 597744. Its totient is φ = 85384.

The previous prime is 256163. The next prime is 256169. The reversal of 256164 is 461652.

256164 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 (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256164.

It is not an unprimeable number, because it can be changed into a prime (256163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10662 + ... + 10685.

It is an arithmetic number, because the mean of its divisors is an integer number (49812).

2²⁵⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

256164 is an abundant number, since it is smaller than the sum of its proper divisors (341580).

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

256164 is a wasteful number, since it uses less digits than its factorization.

256164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354 (or 21352 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 256164 is about 506.1264664093. The cubic root of 256164 is about 63.5095982350.

The spelling of 256164 in words is "two hundred fifty-six thousand, one hundred sixty-four".