258120 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 68544.

The previous prime is 258119. The next prime is 258127. The reversal of 258120 is 21852.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 258093 and 258102.

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 258120.

It is not an unprimeable number, because it can be changed into a prime (258127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁵⁸¹²⁰ is an apocalyptic number.

258120 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 258120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

258120 is an abundant number, since it is smaller than the sum of its proper divisors (605880).

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

258120 is a wasteful number, since it uses less digits than its factorization.

258120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 258120 is about 508.0551151204. The cubic root of 258120 is about 63.6708359918.

Adding to 258120 its reverse (21852), we get a palindrome (279972).

It can be divided in two parts, 2581 and 20, that added together give a square (2601 = 51²).

The spelling of 258120 in words is "two hundred fifty-eight thousand, one hundred twenty".