259908096 has 160 divisors (see below), whose sum is σ = 826518528. Its totient is φ = 70963200.

The previous prime is 259908031. The next prime is 259908097. The reversal of 259908096 is 690809952.

259908096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (259908097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246771 + ... + 247821.

Almost surely, 2^259908096 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 259908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413259264).

259908096 is an abundant number, since it is smaller than the sum of its proper divisors (566610432).

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

259908096 is a wasteful number, since it uses less digits than its factorization.

259908096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 259908096 is about 16121.6654226541. The cubic root of 259908096 is about 638.1752187575.

The spelling of 259908096 in words is "two hundred fifty-nine million, nine hundred eight thousand, ninety-six".