6873984 has 192 divisors, whose sum is σ = 23390640. Its totient is φ = 1990656.

The previous prime is 6873961. The next prime is 6874003. The reversal of 6873984 is 4893786.

It is a happy number.

6873984 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404344 + ... + 404360.

Almost surely, 2^6873984 is an apocalyptic number.

6873984 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 6873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

6873984 is an abundant number, since it is smaller than the sum of its proper divisors (16516656).

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

6873984 is a wasteful number, since it uses less digits than its factorization.

6873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 6873984 is about 2621.8283696688. The cubic root of 6873984 is about 190.1382557895.

The spelling of 6873984 in words is "six million, eight hundred seventy-three thousand, nine hundred eighty-four".