6808984 has 64 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 2623104.

The previous prime is 6808979. The next prime is 6809029. The reversal of 6808984 is 4898086.

It is a super-2 number, since 2×6808984² = 92724526224512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6808984.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34117 + ... + 34315.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 2^6808984 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 6808984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064000).

6808984 is an abundant number, since it is smaller than the sum of its proper divisors (9319016).

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

6808984 is a wasteful number, since it uses less digits than its factorization.

6808984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 6808984 is about 2609.4029968558. The cubic root of 6808984 is about 189.5370446209.

The spelling of 6808984 in words is "six million, eight hundred eight thousand, nine hundred eighty-four".