9968832 has 84 divisors (see below), whose sum is σ = 29678376. Its totient is φ = 3317760.

The previous prime is 9968809. The next prime is 9968839. The reversal of 9968832 is 2388699.

It is a super-2 number, since 2×9968832² = 198755222888448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9968839) 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, 15232 + ... + 15872.

It is an arithmetic number, because the mean of its divisors is an integer number (353314).

Almost surely, 2^9968832 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 9968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839188).

9968832 is an abundant number, since it is smaller than the sum of its proper divisors (19709544).

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

9968832 is an equidigital number, since it uses as much as digits as its factorization.

9968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9968832 is about 3157.3457206964. The cubic root of 9968832 is about 215.2194046524.

The spelling of 9968832 in words is "nine million, nine hundred sixty-eight thousand, eight hundred thirty-two".