7959168 has 192 divisors, whose sum is σ = 27907200. Its totient is φ = 2225664.

The previous prime is 7959163. The next prime is 7959187. The reversal of 7959168 is 8619597.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (136080) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (7959163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169321 + ... + 169367.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^7959168 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 7959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953600).

7959168 is an abundant number, since it is smaller than the sum of its proper divisors (19948032).

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

7959168 is a wasteful number, since it uses less digits than its factorization.

7959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 7959168 is about 2821.1997447894. The cubic root of 7959168 is about 199.6591527792.

It can be divided in two parts, 7 and 959168, that multiplied together give a palindrome (6714176).

The spelling of 7959168 in words is "seven million, nine hundred fifty-nine thousand, one hundred sixty-eight".