9429984 has 72 divisors (see below), whose sum is σ = 27125280. Its totient is φ = 3107328.

The previous prime is 9429967. The next prime is 9429997. The reversal of 9429984 is 4899249.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39337 + ... + 39575.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 2^9429984 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 9429984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562640).

9429984 is an abundant number, since it is smaller than the sum of its proper divisors (17695296).

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

9429984 is a wasteful number, since it uses less digits than its factorization.

9429984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9429984 is about 3070.8279013973. The cubic root of 9429984 is about 211.2695879506.

The spelling of 9429984 in words is "nine million, four hundred twenty-nine thousand, nine hundred eighty-four".