9681984 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 2972160.

The previous prime is 9681983. The next prime is 9681989. The reversal of 9681984 is 4891869.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9681983) 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, 22249 + ... + 22679.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^9681984 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 9681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

9681984 is an abundant number, since it is smaller than the sum of its proper divisors (21041856).

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

9681984 is a wasteful number, since it uses less digits than its factorization.

9681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 9681984 is about 3111.5886617611. The cubic root of 9681984 is about 213.1350066537.

The spelling of 9681984 in words is "nine million, six hundred eighty-one thousand, nine hundred eighty-four".