7956032 has 84 divisors (see below), whose sum is σ = 19110960. Its totient is φ = 3273984.

The previous prime is 7956031. The next prime is 7956043. The reversal of 7956032 is 2306597.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7956032.

It is not an unprimeable number, because it can be changed into a prime (7956031) 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, 134819 + ... + 134877.

Almost surely, 2^7956032 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 7956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555480).

7956032 is an abundant number, since it is smaller than the sum of its proper divisors (11154928).

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

7956032 is a wasteful number, since it uses less digits than its factorization.

7956032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 7956032 is about 2820.6438981197. The cubic root of 7956032 is about 199.6329266981.

The spelling of 7956032 in words is "seven million, nine hundred fifty-six thousand, thirty-two".