9609984 has 108 divisors (see below), whose sum is σ = 28644616. Its totient is φ = 3096576.

The previous prime is 9609959. The next prime is 9610033. The reversal of 9609984 is 4899069.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99024 + ... + 99120.

Almost surely, 2^9609984 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 9609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322308).

9609984 is an abundant number, since it is smaller than the sum of its proper divisors (19034632).

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

9609984 is a wasteful number, since it uses less digits than its factorization.

9609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9609984 is about 3099.9974193538. The cubic root of 9609984 is about 212.6053659705.

Subtracting from 9609984 its reverse (4899069), we obtain a triangular number (4710915 = T₃₀₆₉).

The spelling of 9609984 in words is "nine million, six hundred nine thousand, nine hundred eighty-four".