251160 has 128 divisors (see below), whose sum is σ = 967680. Its totient is φ = 50688.

The previous prime is 251159. The next prime is 251171. The reversal of 251160 is 61152.

251160 = T₂₄ + T₂₅ + ... + T₁₁₄.

251160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10909 + ... + 10931.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2²⁵¹¹⁶⁰ is an apocalyptic number.

251160 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 251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

251160 is an abundant number, since it is smaller than the sum of its proper divisors (716520).

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

251160 is a wasteful number, since it uses less digits than its factorization.

251160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 251160 is about 501.1586575128. The cubic root of 251160 is about 63.0933360788.

251160 divided by its product of nonzero digits (60) gives a triangular number (4186 = T₉₁).

The spelling of 251160 in words is "two hundred fifty-one thousand, one hundred sixty".