258336 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 76032.

The previous prime is 258331. The next prime is 258337. The reversal of 258336 is 633852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

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 258336.

It is not an unprimeable number, because it can be changed into a prime (258331) by changing a digit.

258336 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 15 ways as a sum of consecutive naturals, for example, 11221 + ... + 11243.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2²⁵⁸³³⁶ is an apocalyptic number.

258336 is a gapful number since it is divisible by the number (26) 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 258336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

258336 is an abundant number, since it is smaller than the sum of its proper divisors (588384).

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

258336 is a wasteful number, since it uses less digits than its factorization.

258336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 258336 is about 508.2676460291. The cubic root of 258336 is about 63.6885913848.

Subtracting from 258336 its product of digits (4320), we obtain a square (254016 = 504²).

The spelling of 258336 in words is "two hundred fifty-eight thousand, three hundred thirty-six".