258168 has 32 divisors (see below), whose sum is σ = 668160. Its totient is φ = 83040.

The previous prime is 258161. The next prime is 258173. The reversal of 258168 is 861852.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258161) by changing a digit.

258168 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 7 ways as a sum of consecutive naturals, for example, 571 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (20880).

2²⁵⁸¹⁶⁸ 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 258168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334080).

258168 is an abundant number, since it is smaller than the sum of its proper divisors (409992).

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

258168 is a wasteful number, since it uses less digits than its factorization.

258168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

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

The square root of 258168 is about 508.1023518938. The cubic root of 258168 is about 63.6747824905.

The spelling of 258168 in words is "two hundred fifty-eight thousand, one hundred sixty-eight".