7920168 has 32 divisors (see below), whose sum is σ = 19880160. Its totient is φ = 2629440.

The previous prime is 7920163. The next prime is 7920173. The reversal of 7920168 is 8610297.

It is an interprime number because it is at equal distance from previous prime (7920163) and next prime (7920173).

It is a super-2 number, since 2×7920168² = 125458122296448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7920163) 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 7 ways as a sum of consecutive naturals, for example, 7446 + ... + 8442.

It is an arithmetic number, because the mean of its divisors is an integer number (621255).

Almost surely, 2^7920168 is an apocalyptic number.

It is an amenable number.

7920168 is an abundant number, since it is smaller than the sum of its proper divisors (11959992).

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

7920168 is a wasteful number, since it uses less digits than its factorization.

7920168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7920168 is about 2814.2793038361. The cubic root of 7920168 is about 199.3325080844.

The spelling of 7920168 in words is "seven million, nine hundred twenty thousand, one hundred sixty-eight".