259696000 has 64 divisors (see below), whose sum is σ = 645708960. Its totient is φ = 103872000.

The previous prime is 259695983. The next prime is 259696027. The reversal of 259696000 is 696952.

It is a happy number.

259696000 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 (64).

It is a congruent number.

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, 7885 + ... + 24115.

Almost surely, 2^259696000 is an apocalyptic number.

259696000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322854480).

259696000 is an abundant number, since it is smaller than the sum of its proper divisors (386012960).

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

259696000 is an equidigital number, since it uses as much as digits as its factorization.

259696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 259696000 is about 16115.0860996769. The cubic root of 259696000 is about 638.0015788590.

It can be divided in two parts, 2596 and 96000, that added together give a square (98596 = 314²).

The spelling of 259696000 in words is "two hundred fifty-nine million, six hundred ninety-six thousand".