7984416 has 48 divisors (see below), whose sum is σ = 22867488. Its totient is φ = 2419200.

The previous prime is 7984409. The next prime is 7984421. The reversal of 7984416 is 6144897.

It is a happy number.

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

It is a super-2 number, since 2×7984416² = 127501797722112, which contains 22 as substring.

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, 2725 + ... + 4836.

It is an arithmetic number, because the mean of its divisors is an integer number (476406).

Almost surely, 2^7984416 is an apocalyptic number.

It is an amenable number.

7984416 is an abundant number, since it is smaller than the sum of its proper divisors (14883072).

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

7984416 is a wasteful number, since it uses less digits than its factorization.

7984416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585 (or 7577 counting only the distinct ones).

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

The square root of 7984416 is about 2825.6708937879. The cubic root of 7984416 is about 199.8700489152.

The spelling of 7984416 in words is "seven million, nine hundred eighty-four thousand, four hundred sixteen".