984981888 has 192 divisors, whose sum is σ = 3255595200. Its totient is φ = 282700800.

The previous prime is 984981871. The next prime is 984981889. The reversal of 984981888 is 888189489.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984981889) 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 23 ways as a sum of consecutive naturals, for example, 238723 + ... + 242813.

It is an arithmetic number, because the mean of its divisors is an integer number (16956225).

Almost surely, 2^984981888 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 984981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600).

984981888 is an abundant number, since it is smaller than the sum of its proper divisors (2270613312).

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

984981888 is a wasteful number, since it uses less digits than its factorization.

984981888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4126 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 63.

The square root of 984981888 is about 31384.4211034711. The cubic root of 984981888 is about 994.9686910512.

The spelling of 984981888 in words is "nine hundred eighty-four million, nine hundred eighty-one thousand, eight hundred eighty-eight".