258688 has 32 divisors (see below), whose sum is σ = 538560. Its totient is φ = 123648.

The previous prime is 258677. The next prime is 258691. The reversal of 258688 is 886852.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

258688 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 3 ways as a sum of consecutive naturals, for example, 5481 + ... + 5527.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2²⁵⁸⁶⁸⁸ 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 258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269280).

258688 is an abundant number, since it is smaller than the sum of its proper divisors (279872).

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

258688 is an equidigital number, since it uses as much as digits as its factorization.

258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 258688 is about 508.6138024081. The cubic root of 258688 is about 63.7175049053.

It can be divided in two parts, 258 and 688, that added together give a triangular number (946 = T₄₃).

The spelling of 258688 in words is "two hundred fifty-eight thousand, six hundred eighty-eight".