9729984 has 112 divisors (see below), whose sum is σ = 29846016. Its totient is φ = 2764800.

The previous prime is 9729983. The next prime is 9729991. The reversal of 9729984 is 4899279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9729983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35769 + ... + 36039.

Almost surely, 2^9729984 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 9729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923008).

9729984 is an abundant number, since it is smaller than the sum of its proper divisors (20116032).

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

9729984 is a wasteful number, since it uses less digits than its factorization.

9729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 9729984 is about 3119.2922274131. The cubic root of 9729984 is about 213.4866432711.

The spelling of 9729984 in words is "nine million, seven hundred twenty-nine thousand, nine hundred eighty-four".