8293821984 has 240 divisors, whose sum is σ = 27980922816. Its totient is φ = 2360793600.

The previous prime is 8293821967. The next prime is 8293821997. The reversal of 8293821984 is 4891283928.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 8293821984.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 6004974 + ... + 6006354.

Almost surely, 2^8293821984 is an apocalyptic number.

8293821984 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 8293821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990461408).

8293821984 is an abundant number, since it is smaller than the sum of its proper divisors (19687100832).

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

8293821984 is a wasteful number, since it uses less digits than its factorization.

8293821984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1724 counting only the distinct ones).

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

The square root of 8293821984 is about 91070.4232119298. The cubic root of 8293821984 is about 2024.1913742608.

The spelling of 8293821984 in words is "eight billion, two hundred ninety-three million, eight hundred twenty-one thousand, nine hundred eighty-four".