259963968 has 112 divisors (see below), whose sum is σ = 759902976. Its totient is φ = 77775360.

The previous prime is 259963943. The next prime is 259963987. The reversal of 259963968 is 869369952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174555 + ... + 176037.

It is an arithmetic number, because the mean of its divisors is an integer number (6784848).

Almost surely, 2^259963968 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 259963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379951488).

259963968 is an abundant number, since it is smaller than the sum of its proper divisors (499939008).

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

259963968 is a wasteful number, since it uses less digits than its factorization.

259963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1582 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 57.

The square root of 259963968 is about 16123.3981529949. The cubic root of 259963968 is about 638.2209446271.

The spelling of 259963968 in words is "two hundred fifty-nine million, nine hundred sixty-three thousand, nine hundred sixty-eight".