256083968 has 48 divisors (see below), whose sum is σ = 585224640. Its totient is φ = 109744128.

The previous prime is 256083953. The next prime is 256084027. The reversal of 256083968 is 869380652.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5405 + ... + 23267.

It is an arithmetic number, because the mean of its divisors is an integer number (12192180).

Almost surely, 2^256083968 is an apocalyptic number.

256083968 is a gapful number since it is divisible by the number (28) 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 256083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292612320).

256083968 is an abundant number, since it is smaller than the sum of its proper divisors (329140672).

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

256083968 is an equidigital number, since it uses as much as digits as its factorization.

256083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17892 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 256083968 is about 16002.6237848673. The cubic root of 256083968 is about 635.0298355378.

The spelling of 256083968 in words is "two hundred fifty-six million, eighty-three thousand, nine hundred sixty-eight".