983991680 has 128 divisors (see below), whose sum is σ = 2702592000. Its totient is φ = 335591424.

The previous prime is 983991667. The next prime is 983991713. The reversal of 983991680 is 86199389.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070261 + ... + 1071179.

It is an arithmetic number, because the mean of its divisors is an integer number (21114000).

Almost surely, 2^983991680 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 983991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351296000).

983991680 is an abundant number, since it is smaller than the sum of its proper divisors (1718600320).

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

983991680 is a wasteful number, since it uses less digits than its factorization.

983991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 53.

The square root of 983991680 is about 31368.6416664796. The cubic root of 983991680 is about 994.6351633301.

The spelling of 983991680 in words is "nine hundred eighty-three million, nine hundred ninety-one thousand, six hundred eighty".