258068160 has 448 divisors, whose sum is σ = 1106058240. Its totient is φ = 55296000.

The previous prime is 258068159. The next prime is 258068179. The reversal of 258068160 is 61860852.

It is a happy number.

258068160 is a `hidden beast` number, since 2 + 580 + 68 + 16 + 0 = 666.

258068160 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1028035 + ... + 1028285.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^258068160 is an apocalyptic number.

258068160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 16064×16065.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

258068160 is an abundant number, since it is smaller than the sum of its proper divisors (847990080).

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

258068160 is a wasteful number, since it uses less digits than its factorization.

258068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 258068160 is about 16064.4999922189. The cubic root of 258068160 is about 636.6657322367.

The spelling of 258068160 in words is "two hundred fifty-eight million, sixty-eight thousand, one hundred sixty".