7971168 has 48 divisors (see below), whose sum is σ = 21422016. Its totient is φ = 2593920.

The previous prime is 7971157. The next prime is 7971199. The reversal of 7971168 is 8611797.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3163 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (446292).

Almost surely, 2^7971168 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 7971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711008).

7971168 is an abundant number, since it is smaller than the sum of its proper divisors (13450848).

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

7971168 is a wasteful number, since it uses less digits than its factorization.

7971168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1979 counting only the distinct ones).

The product of its digits is 21168, while the sum is 39.

The square root of 7971168 is about 2823.3256985336. The cubic root of 7971168 is about 199.7594441137.

The spelling of 7971168 in words is "seven million, nine hundred seventy-one thousand, one hundred sixty-eight".