256376160 has 72 divisors (see below), whose sum is σ = 874888560. Its totient is φ = 68366592.

The previous prime is 256376149. The next prime is 256376161. The reversal of 256376160 is 61673652.

256376160 is a `hidden beast` number, since 2 + 5 + 6 + 37 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256376161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87580 + ... + 90459.

It is an arithmetic number, because the mean of its divisors is an integer number (12151230).

Almost surely, 2^256376160 is an apocalyptic number.

256376160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256376160 is an abundant number, since it is smaller than the sum of its proper divisors (618512400).

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

256376160 is a wasteful number, since it uses less digits than its factorization.

256376160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178060 (or 178049 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 256376160 is about 16011.7506850438. The cubic root of 256376160 is about 635.2712669099.

The spelling of 256376160 in words is "two hundred fifty-six million, three hundred seventy-six thousand, one hundred sixty".