258680 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 99456.

The previous prime is 258677. The next prime is 258691. The reversal of 258680 is 86852.

It is a happy number.

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 a Harshad number since it is a multiple of its sum of digits (29).

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 258680.

It is an unprimeable number.

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, 1049 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁵⁸⁶⁸⁰ is an apocalyptic number.

258680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

258680 is an abundant number, since it is smaller than the sum of its proper divisors (346120).

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

258680 is a wasteful number, since it uses less digits than its factorization.

258680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

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

The square root of 258680 is about 508.6059378340. The cubic root of 258680 is about 63.7168480712.

The spelling of 258680 in words is "two hundred fifty-eight thousand, six hundred eighty".