256289688 has 96 divisors (see below), whose sum is σ = 753021360. Its totient is φ = 78428160.

The previous prime is 256289653. The next prime is 256289699. The reversal of 256289688 is 886982652.

256289688 is a `hidden beast` number, since 2 + 5 + 628 + 9 + 6 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47631 + ... + 52737.

Almost surely, 2^256289688 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 256289688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376510680).

256289688 is an abundant number, since it is smaller than the sum of its proper divisors (496731672).

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

256289688 is a wasteful number, since it uses less digits than its factorization.

256289688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5170 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 256289688 is about 16009.0501904392. The cubic root of 256289688 is about 635.1998362508.

The spelling of 256289688 in words is "two hundred fifty-six million, two hundred eighty-nine thousand, six hundred eighty-eight".