9984320 has 56 divisors (see below), whose sum is σ = 24387048. Its totient is φ = 3891200.

The previous prime is 9984311. The next prime is 9984347. The reversal of 9984320 is 234899.

It can be written as a sum of positive squares in 4 ways, for example, as 1032256 + 8952064 = 1016^2 + 2992^2 .

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

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, 12740 + ... + 13500.

It is an arithmetic number, because the mean of its divisors is an integer number (435483).

Almost surely, 2^9984320 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 9984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193524).

9984320 is an abundant number, since it is smaller than the sum of its proper divisors (14402728).

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

9984320 is a wasteful number, since it uses less digits than its factorization.

9984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 9984320 is about 3159.7974618637. The cubic root of 9984320 is about 215.3308049771.

The spelling of 9984320 in words is "nine million, nine hundred eighty-four thousand, three hundred twenty".