6807864 has 64 divisors (see below), whose sum is σ = 19872000. Its totient is φ = 1942752.

The previous prime is 6807863. The next prime is 6807869. The reversal of 6807864 is 4687086.

6807864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7819 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (310500).

Almost surely, 2^6807864 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 6807864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936000).

6807864 is an abundant number, since it is smaller than the sum of its proper divisors (13064136).

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

6807864 is a wasteful number, since it uses less digits than its factorization.

6807864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6807864 is about 2609.1883795541. The cubic root of 6807864 is about 189.5266518256.

The spelling of 6807864 in words is "six million, eight hundred seven thousand, eight hundred sixty-four".