259160 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 86400.

The previous prime is 259159. The next prime is 259163. The reversal of 259160 is 61952.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259163) 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, 8345 + ... + 8375.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2²⁵⁹¹⁶⁰ is an apocalyptic number.

259160 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 259160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

259160 is an abundant number, since it is smaller than the sum of its proper divisors (432040).

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

259160 is a wasteful number, since it uses less digits than its factorization.

259160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 259160 is about 509.0775972286. The cubic root of 259160 is about 63.7562341718.

The spelling of 259160 in words is "two hundred fifty-nine thousand, one hundred sixty".