984674880 has 504 divisors, whose sum is σ = 4079370048. Its totient is φ = 221709312.

The previous prime is 984674857. The next prime is 984674909. The reversal of 984674880 is 88476489.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 14696607 + ... + 14696673.

Almost surely, 2^984674880 is an apocalyptic number.

984674880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039685024).

984674880 is an abundant number, since it is smaller than the sum of its proper divisors (3094695168).

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

984674880 is an frugal number, since it uses more digits than its factorization.

984674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 984674880 is about 31379.5296331860. The cubic root of 984674880 is about 994.8653067171.

The spelling of 984674880 in words is "nine hundred eighty-four million, six hundred seventy-four thousand, eight hundred eighty".