7956160 has 84 divisors (see below), whose sum is σ = 20226528. Its totient is φ = 2979328.

The previous prime is 7956149. The next prime is 7956163. The reversal of 7956160 is 616597.

It is not an unprimeable number, because it can be changed into a prime (7956163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169257 + ... + 169303.

It is an arithmetic number, because the mean of its divisors is an integer number (240792).

Almost surely, 2^7956160 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 7956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10113264).

7956160 is an abundant number, since it is smaller than the sum of its proper divisors (12270368).

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

7956160 is a wasteful number, since it uses less digits than its factorization.

7956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 7956160 is about 2820.6665878831. Note that the first 3 decimals coincide. The cubic root of 7956160 is about 199.6339972853.

The spelling of 7956160 in words is "seven million, nine hundred fifty-six thousand, one hundred sixty".