7995168 has 144 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2365440.

The previous prime is 7995161. The next prime is 7995173. The reversal of 7995168 is 8615997.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7995168² = 127845422696448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7995161) 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, 112573 + ... + 112643.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^7995168 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 7995168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

7995168 is an abundant number, since it is smaller than the sum of its proper divisors (17479008).

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

7995168 is a wasteful number, since it uses less digits than its factorization.

7995168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

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

The square root of 7995168 is about 2827.5728107336. The cubic root of 7995168 is about 199.9597252236.

The spelling of 7995168 in words is "seven million, nine hundred ninety-five thousand, one hundred sixty-eight".