984889920 has 224 divisors, whose sum is σ = 3608149248. Its totient is φ = 222953472.

The previous prime is 984889903. The next prime is 984889943. The reversal of 984889920 is 29988489.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 758712 + ... + 760008.

Almost surely, 2^984889920 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 984889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804074624).

984889920 is an abundant number, since it is smaller than the sum of its proper divisors (2623259328).

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

984889920 is a wasteful number, since it uses less digits than its factorization.

984889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 984889920 is about 31382.9558837277. The cubic root of 984889920 is about 994.9377232640.

The spelling of 984889920 in words is "nine hundred eighty-four million, eight hundred eighty-nine thousand, nine hundred twenty".