7957632 has 128 divisors (see below), whose sum is σ = 23794560. Its totient is φ = 2342912.

The previous prime is 7957619. The next prime is 7957667. The reversal of 7957632 is 2367597.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (79380) is a multiple of the sum of its prime divisors (98).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150118 + ... + 150170.

It is an arithmetic number, because the mean of its divisors is an integer number (185895).

Almost surely, 2^7957632 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 7957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11897280).

7957632 is an abundant number, since it is smaller than the sum of its proper divisors (15836928).

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

7957632 is a wasteful number, since it uses less digits than its factorization.

7957632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 7957632 is about 2820.9275070444. The cubic root of 7957632 is about 199.6463082126.

The spelling of 7957632 in words is "seven million, nine hundred fifty-seven thousand, six hundred thirty-two".