258960 has 80 divisors (see below), whose sum is σ = 874944. Its totient is φ = 62976.

The previous prime is 258959. The next prime is 258967. The reversal of 258960 is 69852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258960.

It is not an unprimeable number, because it can be changed into a prime (258967) 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, 3079 + ... + 3161.

2²⁵⁸⁹⁶⁰ is an apocalyptic number.

258960 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 258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

258960 is an abundant number, since it is smaller than the sum of its proper divisors (615984).

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

258960 is a wasteful number, since it uses less digits than its factorization.

258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 258960 is about 508.8811256079. The cubic root of 258960 is about 63.7398292117.

The spelling of 258960 in words is "two hundred fifty-eight thousand, nine hundred sixty".