259296 has 48 divisors (see below), whose sum is σ = 708624. Its totient is φ = 82944.

The previous prime is 259277. The next prime is 259309. The reversal of 259296 is 692952.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

259296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3516 + ... + 3588.

It is an arithmetic number, because the mean of its divisors is an integer number (14763).

2²⁵⁹²⁹⁶ 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 259296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312).

259296 is an abundant number, since it is smaller than the sum of its proper divisors (449328).

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

259296 is a wasteful number, since it uses less digits than its factorization.

259296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 259296 is about 509.2111546304. The cubic root of 259296 is about 63.7673847243.

It can be divided in two parts, 2592 and 96, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 259296 in words is "two hundred fifty-nine thousand, two hundred ninety-six".