7951160 has 64 divisors (see below), whose sum is σ = 20779200. Its totient is φ = 2681856.

The previous prime is 7951157. The next prime is 7951183. The reversal of 7951160 is 611597.

It is a happy number.

7951160 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

7951160 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20246 + ... + 20634.

It is an arithmetic number, because the mean of its divisors is an integer number (324675).

Almost surely, 2^7951160 is an apocalyptic number.

7951160 is a gapful number since it is divisible by the number (70) 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 7951160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389600).

7951160 is an abundant number, since it is smaller than the sum of its proper divisors (12828040).

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

7951160 is a wasteful number, since it uses less digits than its factorization.

7951160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 7951160 is about 2819.7801332728. The cubic root of 7951160 is about 199.5921689344.

The spelling of 7951160 in words is "seven million, nine hundred fifty-one thousand, one hundred sixty".