9984000 has 192 divisors, whose sum is σ = 35773920. Its totient is φ = 2457600.

The previous prime is 9983999. The next prime is 9984011. The reversal of 9984000 is 4899.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 767994 + ... + 768006.

Almost surely, 2^9984000 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 9984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

9984000 is an abundant number, since it is smaller than the sum of its proper divisors (25789920).

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

9984000 is a wasteful number, since it uses less digits than its factorization.

9984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9984000 is about 3159.7468253010. The cubic root of 9984000 is about 215.3285044835.

Adding to 9984000 its reverse (4899), we get a palindrome (9988899).

The spelling of 9984000 in words is "nine million, nine hundred eighty-four thousand".