7984032 has 72 divisors (see below), whose sum is σ = 24173856. Its totient is φ = 2260224.

The previous prime is 7984027. The next prime is 7984037. The reversal of 7984032 is 2304897.

7984032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7984027) and next prime (7984037).

It is a junction number, because it is equal to n+sod(n) for n = 7983984 and 7984002.

It is not an unprimeable number, because it can be changed into a prime (7984037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73194 + ... + 73302.

It is an arithmetic number, because the mean of its divisors is an integer number (335748).

Almost surely, 2^7984032 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 7984032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086928).

7984032 is an abundant number, since it is smaller than the sum of its proper divisors (16189824).

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

7984032 is a wasteful number, since it uses less digits than its factorization.

7984032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7984032 is about 2825.6029445058. The cubic root of 7984032 is about 199.8668447013.

The spelling of 7984032 in words is "seven million, nine hundred eighty-four thousand, thirty-two".