259723968 has 56 divisors (see below), whose sum is σ = 785359872. Its totient is φ = 74206464.

The previous prime is 259723951. The next prime is 259723987. The reversal of 259723968 is 869327952.

259723968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 259723968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95280 + ... + 97967.

Almost surely, 2^259723968 is an apocalyptic number.

259723968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

259723968 is an abundant number, since it is smaller than the sum of its proper divisors (525635904).

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

259723968 is a wasteful number, since it uses less digits than its factorization.

259723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193269 (or 193259 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 259723968 is about 16115.9538346323. The cubic root of 259723968 is about 638.0244812624.

It can be divided in two parts, 2597 and 23968, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 259723968 in words is "two hundred fifty-nine million, seven hundred twenty-three thousand, nine hundred sixty-eight".