7984864 has 48 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 3611520.

The previous prime is 7984829. The next prime is 7984891. The reversal of 7984864 is 4684897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13699 + ... + 14269.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^7984864 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 7984864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

7984864 is an abundant number, since it is smaller than the sum of its proper divisors (9312416).

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

7984864 is a wasteful number, since it uses less digits than its factorization.

7984864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 7984864 is about 2825.7501658852. The cubic root of 7984864 is about 199.8737870349.

The spelling of 7984864 in words is "seven million, nine hundred eighty-four thousand, eight hundred sixty-four".