258656 has 24 divisors (see below), whose sum is σ = 521640. Its totient is φ = 126208.

The previous prime is 258637. The next prime is 258659. The reversal of 258656 is 656852.

It is a happy number.

258656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 258656.

It is not an unprimeable number, because it can be changed into a prime (258659) by changing a digit.

258656 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, 1820 + ... + 1956.

It is an arithmetic number, because the mean of its divisors is an integer number (21735).

2²⁵⁸⁶⁵⁶ 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 258656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260820).

258656 is an abundant number, since it is smaller than the sum of its proper divisors (262984).

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

258656 is a wasteful number, since it uses less digits than its factorization.

258656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 258656 is about 508.5823433821. The cubic root of 258656 is about 63.7148774877.

The spelling of 258656 in words is "two hundred fifty-eight thousand, six hundred fifty-six".