9984400 has 60 divisors (see below), whose sum is σ = 24313300. Its totient is φ = 3939840.

The previous prime is 9984397. The next prime is 9984421. The reversal of 9984400 is 44899.

It can be written as a sum of positive squares in 6 ways, for example, as 473344 + 9511056 = 688^2 + 3084^2 .

It is a nialpdrome in base 10.

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, 43486 + ... + 43714.

Almost surely, 2^9984400 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 9984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156650).

9984400 is an abundant number, since it is smaller than the sum of its proper divisors (14328900).

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

9984400 is a wasteful number, since it uses less digits than its factorization.

9984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 9984400 is about 3159.8101208775. The cubic root of 9984400 is about 215.3313800929.

The spelling of 9984400 in words is "nine million, nine hundred eighty-four thousand, four hundred".