259291968 has 168 divisors, whose sum is σ = 760817376. Its totient is φ = 77875200.

The previous prime is 259291951. The next prime is 259292003. The reversal of 259291968 is 869192952.

It is a self number, because there is not a number n which added to its sum of digits gives 259291968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1979263 + ... + 1979393.

Almost surely, 2^259291968 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 259291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380408688).

259291968 is an abundant number, since it is smaller than the sum of its proper divisors (501525408).

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

259291968 is a wasteful number, since it uses less digits than its factorization.

259291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 259291968 is about 16102.5453888508. The cubic root of 259291968 is about 637.6705419932.

The spelling of 259291968 in words is "two hundred fifty-nine million, two hundred ninety-one thousand, nine hundred sixty-eight".