9641632 has 144 divisors (see below), whose sum is σ = 26544672. Its totient is φ = 3386880.

The previous prime is 9641617. The next prime is 9641633. The reversal of 9641632 is 2361469.

9641632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9641632² = 185922135246848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9641594 and 9641603.

It is not an unprimeable number, because it can be changed into a prime (9641633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224203 + ... + 224245.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 2^9641632 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 9641632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272336).

9641632 is an abundant number, since it is smaller than the sum of its proper divisors (16903040).

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

9641632 is a wasteful number, since it uses less digits than its factorization.

9641632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 9641632 is about 3105.0977440332. The cubic root of 9641632 is about 212.8384971903.

The spelling of 9641632 in words is "nine million, six hundred forty-one thousand, six hundred thirty-two".