7984392 has 64 divisors (see below), whose sum is σ = 21766080. Its totient is φ = 2426112.

The previous prime is 7984387. The next prime is 7984399. The reversal of 7984392 is 2934897.

It is a d-powerful number, because it can be written as 7⁸ + 9⁵ + 8⁷ + 4⁶ + 3⁵ + 9⁵ + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7984399) 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 15 ways as a sum of consecutive naturals, for example, 48903 + ... + 49065.

It is an arithmetic number, because the mean of its divisors is an integer number (340095).

Almost surely, 2^7984392 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 7984392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10883040).

7984392 is an abundant number, since it is smaller than the sum of its proper divisors (13781688).

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

7984392 is a wasteful number, since it uses less digits than its factorization.

7984392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 7984392 is about 2825.6666470056. Note that the first 4 decimals coincide. The cubic root of 7984392 is about 199.8698486548.

The spelling of 7984392 in words is "seven million, nine hundred eighty-four thousand, three hundred ninety-two".