9657632 has 48 divisors (see below), whose sum is σ = 20670552. Its totient is φ = 4423680.

The previous prime is 9657619. The next prime is 9657653. The reversal of 9657632 is 2367569.

9657632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5180176 + 4477456 = 2276^2 + 2116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22088 + ... + 22520.

Almost surely, 2^9657632 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 9657632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10335276).

9657632 is an abundant number, since it is smaller than the sum of its proper divisors (11012920).

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

9657632 is a wasteful number, since it uses less digits than its factorization.

9657632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 9657632 is about 3107.6730844798. The cubic root of 9657632 is about 212.9561651660.

The spelling of 9657632 in words is "nine million, six hundred fifty-seven thousand, six hundred thirty-two".