9982944 has 72 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 3130368.

The previous prime is 9982939. The next prime is 9982957. The reversal of 9982944 is 4492899.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9982944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3877 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^9982944 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 9982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

9982944 is an abundant number, since it is smaller than the sum of its proper divisors (20090736).

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

9982944 is a wasteful number, since it uses less digits than its factorization.

9982944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2061 counting only the distinct ones).

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

The square root of 9982944 is about 3159.5797188867. The cubic root of 9982944 is about 215.3209125057.

Subtracting from 9982944 its sum of digits (45), we obtain a palindrome (9982899).

The spelling of 9982944 in words is "nine million, nine hundred eighty-two thousand, nine hundred forty-four".