258564 has 24 divisors (see below), whose sum is σ = 624960. Its totient is φ = 83104.

The previous prime is 258563. The next prime is 258569. The reversal of 258564 is 465852.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258564.

It is not an unprimeable number, because it can be changed into a prime (258563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2²⁵⁸⁵⁶⁴ 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 258564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

258564 is an abundant number, since it is smaller than the sum of its proper divisors (366396).

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

258564 is a wasteful number, since it uses less digits than its factorization.

258564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 258564 is about 508.4918878409. The cubic root of 258564 is about 63.7073224547.

The spelling of 258564 in words is "two hundred fifty-eight thousand, five hundred sixty-four".