9901632 has 56 divisors (see below), whose sum is σ = 28220416. Its totient is φ = 3045888.

The previous prime is 9901627. The next prime is 9901637. The reversal of 9901632 is 2361099.

It is an interprime number because it is at equal distance from previous prime (9901627) and next prime (9901637).

It is a self number, because there is not a number n which added to its sum of digits gives 9901632.

It is not an unprimeable number, because it can be changed into a prime (9901637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (503936).

Almost surely, 2^9901632 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 9901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110208).

9901632 is an abundant number, since it is smaller than the sum of its proper divisors (18318784).

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

9901632 is a wasteful number, since it uses less digits than its factorization.

9901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 9901632 is about 3146.6858756476. The cubic root of 9901632 is about 214.7347151694.

The spelling of 9901632 in words is "nine million, nine hundred one thousand, six hundred thirty-two".