6877984 has 24 divisors (see below), whose sum is σ = 13774320. Its totient is φ = 3379776.

The previous prime is 6877963. The next prime is 6877993. The reversal of 6877984 is 4897786.

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, 67 + ... + 3709.

It is an arithmetic number, because the mean of its divisors is an integer number (573930).

Almost surely, 2^6877984 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 6877984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887160).

6877984 is an abundant number, since it is smaller than the sum of its proper divisors (6896336).

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

6877984 is a wasteful number, since it uses less digits than its factorization.

6877984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3704 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 6877984 is about 2622.5910851675. The cubic root of 6877984 is about 190.1751293865.

The spelling of 6877984 in words is "six million, eight hundred seventy-seven thousand, nine hundred eighty-four".