258160 has 40 divisors (see below), whose sum is σ = 687456. Its totient is φ = 88320.

The previous prime is 258157. The next prime is 258161. The reversal of 258160 is 61852.

258160 = T₁₈₅ + T₁₈₆ + ... + T₁₉₈.

It is a happy number.

258160 is nontrivially palindromic in base 3.

258160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 790.

2²⁵⁸¹⁶⁰ is an apocalyptic number.

258160 is a gapful number since it is divisible by the number (20) 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 258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728).

258160 is an abundant number, since it is smaller than the sum of its proper divisors (429296).

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

258160 is a wasteful number, since it uses less digits than its factorization.

258160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 258160 is about 508.0944794032. The cubic root of 258160 is about 63.6741247747.

The spelling of 258160 in words is "two hundred fifty-eight thousand, one hundred sixty".