256589160 has 128 divisors (see below), whose sum is σ = 826692480. Its totient is φ = 63479808.

The previous prime is 256589159. The next prime is 256589189. The reversal of 256589160 is 61985652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148059 + ... + 149781.

It is an arithmetic number, because the mean of its divisors is an integer number (6458535).

Almost surely, 2^256589160 is an apocalyptic number.

256589160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256589160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413346240).

256589160 is an abundant number, since it is smaller than the sum of its proper divisors (570103320).

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

256589160 is a wasteful number, since it uses less digits than its factorization.

256589160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 256589160 is about 16018.4006692304. The cubic root of 256589160 is about 635.4471482191.

The spelling of 256589160 in words is "two hundred fifty-six million, five hundred eighty-nine thousand, one hundred sixty".