8193084984 has 192 divisors, whose sum is σ = 27329356800. Its totient is φ = 2265278400.

The previous prime is 8193084971. The next prime is 8193084989. The reversal of 8193084984 is 4894803918.

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 8193084984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8193084989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315619 + ... + 340589.

It is an arithmetic number, because the mean of its divisors is an integer number (142340400).

Almost surely, 2^8193084984 is an apocalyptic number.

8193084984 is a gapful number since it is divisible by the number (84) 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 8193084984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664678400).

8193084984 is an abundant number, since it is smaller than the sum of its proper divisors (19136271816).

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

8193084984 is a wasteful number, since it uses less digits than its factorization.

8193084984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25031 (or 25014 counting only the distinct ones).

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

The square root of 8193084984 is about 90515.6615398683. The cubic root of 8193084984 is about 2015.9626729200.

It can be divided in two parts, 819 and 3084984, that added together give a palindrome (3085803).

The spelling of 8193084984 in words is "eight billion, one hundred ninety-three million, eighty-four thousand, nine hundred eighty-four".