258816 has 36 divisors (see below), whose sum is σ = 690872. Its totient is φ = 86016.

The previous prime is 258809. The next prime is 258827. The reversal of 258816 is 618852.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 600 + ... + 936.

2²⁵⁸⁸¹⁶ 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 258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345436).

258816 is an abundant number, since it is smaller than the sum of its proper divisors (432056).

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

258816 is an equidigital number, since it uses as much as digits as its factorization.

258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 258816 is about 508.7396190587. The cubic root of 258816 is about 63.7280124096.

The spelling of 258816 in words is "two hundred fifty-eight thousand, eight hundred sixteen".