9408984 has 64 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 2835456.

The previous prime is 9408983. The next prime is 9409051. The reversal of 9408984 is 4898049.

9408984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16252 + ... + 16820.

Almost surely, 2^9408984 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 9408984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

9408984 is an abundant number, since it is smaller than the sum of its proper divisors (16446216).

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

9408984 is a wasteful number, since it uses less digits than its factorization.

9408984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 640 counting only the distinct ones).

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

The square root of 9408984 is about 3067.4067222982. The cubic root of 9408984 is about 211.1126432227.

The spelling of 9408984 in words is "nine million, four hundred eight thousand, nine hundred eighty-four".