258620160 has 72 divisors (see below), whose sum is σ = 825980400. Its totient is φ = 68964352.

The previous prime is 258620147. The next prime is 258620161. The reversal of 258620160 is 61026852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (258620161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29835 + ... + 37514.

It is an arithmetic number, because the mean of its divisors is an integer number (11471950).

Almost surely, 2^258620160 is an apocalyptic number.

258620160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258620160 is an abundant number, since it is smaller than the sum of its proper divisors (567360240).

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

258620160 is an equidigital number, since it uses as much as digits as its factorization.

258620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67373 (or 67359 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 258620160 is about 16081.6715549100. The cubic root of 258620160 is about 637.1193452263.

The spelling of 258620160 in words is "two hundred fifty-eight million, six hundred twenty thousand, one hundred sixty".