256427136 has 96 divisors (see below), whose sum is σ = 843336000. Its totient is φ = 73262592.

The previous prime is 256427117. The next prime is 256427137. The reversal of 256427136 is 631724652.

256427136 is a `hidden beast` number, since 2 + 5 + 642 + 7 + 1 + 3 + 6 = 666.

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 a self number, because there is not a number n which added to its sum of digits gives 256427136.

It is not an unprimeable number, because it can be changed into a prime (256427137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7836 + ... + 23963.

It is an arithmetic number, because the mean of its divisors is an integer number (8784750).

Almost surely, 2^256427136 is an apocalyptic number.

It is an amenable number.

256427136 is an abundant number, since it is smaller than the sum of its proper divisors (586908864).

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

256427136 is a wasteful number, since it uses less digits than its factorization.

256427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31826 (or 31811 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 256427136 is about 16013.3424368556. The cubic root of 256427136 is about 635.3133683830.

The spelling of 256427136 in words is "two hundred fifty-six million, four hundred twenty-seven thousand, one hundred thirty-six".