984730032 has 480 divisors, whose sum is σ = 3582895680. Its totient is φ = 247726080.

The previous prime is 984730009. The next prime is 984730067. The reversal of 984730032 is 230037489.

984730032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10151808 + ... + 10151904.

It is an arithmetic number, because the mean of its divisors is an integer number (7464366).

Almost surely, 2^984730032 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 984730032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791447840).

984730032 is an abundant number, since it is smaller than the sum of its proper divisors (2598165648).

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

984730032 is a wasteful number, since it uses less digits than its factorization.

984730032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 984730032 is about 31380.4084103442. The cubic root of 984730032 is about 994.8838806268.

The spelling of 984730032 in words is "nine hundred eighty-four million, seven hundred thirty thousand, thirty-two".