7967160 has 80 divisors (see below), whose sum is σ = 26789400. Its totient is φ = 2123712.

The previous prime is 7967143. The next prime is 7967209. The reversal of 7967160 is 617697.

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 19 ways as a sum of consecutive naturals, for example, 2011 + ... + 4469.

Almost surely, 2^7967160 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 7967160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394700).

7967160 is an abundant number, since it is smaller than the sum of its proper divisors (18822240).

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

7967160 is a wasteful number, since it uses less digits than its factorization.

7967160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 7967160 is about 2822.6158080759. The cubic root of 7967160 is about 199.7259580098.

The spelling of 7967160 in words is "seven million, nine hundred sixty-seven thousand, one hundred sixty".