6891984 has 120 divisors (see below), whose sum is σ = 22245600. Its totient is φ = 1969920.

The previous prime is 6891979. The next prime is 6891991. The reversal of 6891984 is 4891986.

6891984 = 16³ + 17³ + ... + 72³.

6891984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 29982 + ... + 30210.

It is an arithmetic number, because the mean of its divisors is an integer number (185380).

Almost surely, 2^6891984 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 6891984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122800).

6891984 is an abundant number, since it is smaller than the sum of its proper divisors (15353616).

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

6891984 is a wasteful number, since it uses less digits than its factorization.

6891984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 6891984 is about 2625.2588443809. The cubic root of 6891984 is about 190.3040745055.

It can be divided in two parts, 6891 and 984, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 6891984 in words is "six million, eight hundred ninety-one thousand, nine hundred eighty-four".