258620 has 24 divisors (see below), whose sum is σ = 554064. Its totient is φ = 101376.

The previous prime is 258617. The next prime is 258623. The reversal of 258620 is 26852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258617) and next prime (258623).

It is an Ulam number.

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 258620.

It is not an unprimeable number, because it can be changed into a prime (258623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1244 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (23086).

2²⁵⁸⁶²⁰ is an apocalyptic number.

258620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258620 is an abundant number, since it is smaller than the sum of its proper divisors (295444).

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

258620 is a wasteful number, since it uses less digits than its factorization.

258620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 258620 is about 508.5469496517. The cubic root of 258620 is about 63.7119213838.

It can be divided in two parts, 258 and 620, that added together give a palindrome (878).

The spelling of 258620 in words is "two hundred fifty-eight thousand, six hundred twenty".