251168 has 24 divisors (see below), whose sum is σ = 508032. Its totient is φ = 122176.

The previous prime is 251159. The next prime is 251171. The reversal of 251168 is 861152.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1421 + ... + 1587.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²⁵¹¹⁶⁸ 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 251168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

251168 is an abundant number, since it is smaller than the sum of its proper divisors (256864).

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

251168 is a wasteful number, since it uses less digits than its factorization.

251168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 251168 is about 501.1666389536. The cubic root of 251168 is about 63.0940059590.

The spelling of 251168 in words is "two hundred fifty-one thousand, one hundred sixty-eight".