6813984 has 24 divisors (see below), whose sum is σ = 17886960. Its totient is φ = 2271296.

The previous prime is 6813977. The next prime is 6814001. The reversal of 6813984 is 4893186.

6813984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35394 + ... + 35585.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^6813984 is an apocalyptic number.

It is an amenable number.

6813984 is an abundant number, since it is smaller than the sum of its proper divisors (11072976).

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

6813984 is a wasteful number, since it uses less digits than its factorization.

6813984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70992 (or 70984 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 6813984 is about 2610.3608945891. The cubic root of 6813984 is about 189.5834271330.

The spelling of 6813984 in words is "six million, eight hundred thirteen thousand, nine hundred eighty-four".