984820032 has 210 divisors, whose sum is σ = 3396813882. Its totient is φ = 281304576.

The previous prime is 984820021. The next prime is 984820033. The reversal of 984820032 is 230028489.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 244109376 = 27216^2 + 15624^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984820033) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 252078 + ... + 255954.

Almost surely, 2^984820032 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 984820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698406941).

984820032 is an abundant number, since it is smaller than the sum of its proper divisors (2411993850).

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

984820032 is a wasteful number, since it uses less digits than its factorization.

984820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 984820032 is about 31381.8423933331. The cubic root of 984820032 is about 994.9141890425.

The spelling of 984820032 in words is "nine hundred eighty-four million, eight hundred twenty thousand, thirty-two".