256618152 has 128 divisors (see below), whose sum is σ = 833817600. Its totient is φ = 71596224.

The previous prime is 256618151. The next prime is 256618163. The reversal of 256618152 is 251816652.

256618152 is a `hidden beast` number, since 25 + 6 + 618 + 15 + 2 = 666.

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 (256618151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63043 + ... + 66989.

It is an arithmetic number, because the mean of its divisors is an integer number (6514200).

Almost surely, 2^256618152 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 256618152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416908800).

256618152 is an abundant number, since it is smaller than the sum of its proper divisors (577199448).

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

256618152 is a wasteful number, since it uses less digits than its factorization.

256618152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012 (or 4002 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 256618152 is about 16019.3056029280. The cubic root of 256618152 is about 635.4710803680.

The spelling of 256618152 in words is "two hundred fifty-six million, six hundred eighteen thousand, one hundred fifty-two".