6806320 has 40 divisors (see below), whose sum is σ = 15958800. Its totient is φ = 2699520.

The previous prime is 6806309. The next prime is 6806357. The reversal of 6806320 is 236086.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11635 + ... + 12205.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 2^6806320 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 6806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979400).

6806320 is an abundant number, since it is smaller than the sum of its proper divisors (9152480).

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

6806320 is a wasteful number, since it uses less digits than its factorization.

6806320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6806320 is about 2608.8924853278. The cubic root of 6806320 is about 189.5123227460.

The spelling of 6806320 in words is "six million, eight hundred six thousand, three hundred twenty".