6865984 has 28 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 3382400.

The previous prime is 6865967. The next prime is 6865997. The reversal of 6865984 is 4895686.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3789 + ... + 5299.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^6865984 is an apocalyptic number.

6865984 is a gapful number since it is divisible by the number (64) 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 6865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

6865984 is an abundant number, since it is smaller than the sum of its proper divisors (6959744).

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

6865984 is a wasteful number, since it uses less digits than its factorization.

6865984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1584 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 6865984 is about 2620.3022726396. The cubic root of 6865984 is about 190.0644656594.

It can be divided in two parts, 686 and 5984, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 6865984 in words is "six million, eight hundred sixty-five thousand, nine hundred eighty-four".