259600896 has 160 divisors (see below), whose sum is σ = 780753600. Its totient is φ = 85155840.

The previous prime is 259600883. The next prime is 259600907. The reversal of 259600896 is 698006952.

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, 1230231 + ... + 1230441.

It is an arithmetic number, because the mean of its divisors is an integer number (4879710).

Almost surely, 2^259600896 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 259600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390376800).

259600896 is an abundant number, since it is smaller than the sum of its proper divisors (521152704).

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

259600896 is an equidigital number, since it uses as much as digits as its factorization.

259600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 259600896 is about 16112.1350540517. The cubic root of 259600896 is about 637.9236879012.

The spelling of 259600896 in words is "two hundred fifty-nine million, six hundred thousand, eight hundred ninety-six".