258608 has 20 divisors (see below), whose sum is σ = 572880. Its totient is φ = 110784.

The previous prime is 258607. The next prime is 258611. The reversal of 258608 is 806852.

It is a happy number.

258608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258608.

It is not an unprimeable number, because it can be changed into a prime (258607) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1043 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2²⁵⁸⁶⁰⁸ is an apocalyptic number.

258608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258608 is an abundant number, since it is smaller than the sum of its proper divisors (314272).

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

258608 is a wasteful number, since it uses less digits than its factorization.

258608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 258608 is about 508.5351511941. The cubic root of 258608 is about 63.7109359549.

The spelling of 258608 in words is "two hundred fifty-eight thousand, six hundred eight".