9984408 has 64 divisors (see below), whose sum is σ = 28853760. Its totient is φ = 2820096.

The previous prime is 9984397. The next prime is 9984421. The reversal of 9984408 is 8044899.

It is a super-2 number, since 2×9984408² = 199376806220928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 9984408.

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, 17016 + ... + 17592.

It is an arithmetic number, because the mean of its divisors is an integer number (450840).

Almost surely, 2^9984408 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 9984408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426880).

9984408 is an abundant number, since it is smaller than the sum of its proper divisors (18869352).

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

9984408 is a wasteful number, since it uses less digits than its factorization.

9984408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9984408 is about 3159.8113867761. The cubic root of 9984408 is about 215.3314376043.

The spelling of 9984408 in words is "nine million, nine hundred eighty-four thousand, four hundred eight".