7984164 has 24 divisors (see below), whose sum is σ = 19272960. Its totient is φ = 2569504.

The previous prime is 7984159. The next prime is 7984181. The reversal of 7984164 is 4614897.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 11124 + ... + 11819.

It is an arithmetic number, because the mean of its divisors is an integer number (803040).

Almost surely, 2^7984164 is an apocalyptic number.

It is an amenable number.

7984164 is an abundant number, since it is smaller than the sum of its proper divisors (11288796).

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

7984164 is a wasteful number, since it uses less digits than its factorization.

7984164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22979 (or 22977 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7984164 is about 2825.6263022558. The cubic root of 7984164 is about 199.8679461614.

The spelling of 7984164 in words is "seven million, nine hundred eighty-four thousand, one hundred sixty-four".