8403981984 has 168 divisors, whose sum is σ = 24903545940. Its totient is φ = 2790402048.

The previous prime is 8403981967. The next prime is 8403982003. The reversal of 8403981984 is 4891893048.

It can be written as a sum of positive squares in 2 ways, for example, as 8249725584 + 154256400 = 90828^2 + 12420^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 8403981984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7861002 + ... + 7862070.

Almost surely, 2^8403981984 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 8403981984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451772970).

8403981984 is an abundant number, since it is smaller than the sum of its proper divisors (16499563956).

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

8403981984 is a wasteful number, since it uses less digits than its factorization.

8403981984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8403981984 is about 91673.2348289292. The cubic root of 8403981984 is about 2033.1138751113.

The spelling of 8403981984 in words is "eight billion, four hundred three million, nine hundred eighty-one thousand, nine hundred eighty-four".