258588 has 36 divisors (see below), whose sum is σ = 714168. Its totient is φ = 78240.

The previous prime is 258581. The next prime is 258607. The reversal of 258588 is 885852.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (19838).

2²⁵⁸⁵⁸⁸ 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 258588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357084).

258588 is an abundant number, since it is smaller than the sum of its proper divisors (455580).

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

258588 is a wasteful number, since it uses less digits than its factorization.

258588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 669 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 258588 is about 508.5154864898. The cubic root of 258588 is about 63.7092935056.

Subtracting 258588 from its reverse (885852), we obtain a square (627264 = 792²).

The spelling of 258588 in words is "two hundred fifty-eight thousand, five hundred eighty-eight".