939984100 has 72 divisors (see below), whose sum is σ = 2231794656. Its totient is φ = 340800000.

The previous prime is 939984083. The next prime is 939984103. The reversal of 939984100 is 1489939.

It is not an unprimeable number, because it can be changed into a prime (939984103) 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 23 ways as a sum of consecutive naturals, for example, 440035 + ... + 442165.

It is an arithmetic number, because the mean of its divisors is an integer number (30997148).

Almost surely, 2^939984100 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 939984100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115897328).

939984100 is an abundant number, since it is smaller than the sum of its proper divisors (1291810556).

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

939984100 is a wasteful number, since it uses less digits than its factorization.

939984100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 939984100 is about 30659.1601320062. The cubic root of 939984100 is about 979.5805854861.

The spelling of 939984100 in words is "nine hundred thirty-nine million, nine hundred eighty-four thousand, one hundred".