258580 has 24 divisors (see below), whose sum is σ = 620928. Its totient is φ = 88608.

The previous prime is 258569. The next prime is 258581. The reversal of 258580 is 85852.

258580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258581) by changing a digit.

258580 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, 784 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (25872).

2²⁵⁸⁵⁸⁰ is an apocalyptic number.

258580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258580 is an abundant number, since it is smaller than the sum of its proper divisors (362348).

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

258580 is a wasteful number, since it uses less digits than its factorization.

258580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 258580 is about 508.5076203952. The cubic root of 258580 is about 63.7086365022.

It can be divided in two parts, 258 and 580, that added together give a palindrome (838).

The spelling of 258580 in words is "two hundred fifty-eight thousand, five hundred eighty".