7982624 has 48 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 3559680.

The previous prime is 7982609. The next prime is 7982629. The reversal of 7982624 is 4262897.

It is not an unprimeable number, because it can be changed into a prime (7982629) 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, 12587 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^7982624 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 7982624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

7982624 is an abundant number, since it is smaller than the sum of its proper divisors (9516256).

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

7982624 is a wasteful number, since it uses less digits than its factorization.

7982624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 7982624 is about 2825.3537831571. The cubic root of 7982624 is about 199.8550950381.

The spelling of 7982624 in words is "seven million, nine hundred eighty-two thousand, six hundred twenty-four".