6807906 has 48 divisors (see below), whose sum is σ = 17117568. Its totient is φ = 1915200.

The previous prime is 6807901. The next prime is 6807919. The reversal of 6807906 is 6097086.

6807906 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

6807906 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (6807901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8566 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (356616).

Almost surely, 2^6807906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

6807906 is an abundant number, since it is smaller than the sum of its proper divisors (10309662).

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

6807906 is a wasteful number, since it uses less digits than its factorization.

6807906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6807906 is about 2609.1964280215. The cubic root of 6807906 is about 189.5270415760.

The spelling of 6807906 in words is "six million, eight hundred seven thousand, nine hundred six".