6806864 has 20 divisors (see below), whose sum is σ = 13883040. Its totient is φ = 3224160.

The previous prime is 6806837. The next prime is 6806893. The reversal of 6806864 is 4686086.

6806864 = T₂₈₇ + T₂₈₈ + ... + T₄₀₀.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 10892 + ... + 11499.

It is an arithmetic number, because the mean of its divisors is an integer number (694152).

Almost surely, 2^6806864 is an apocalyptic number.

It is an amenable number.

6806864 is an abundant number, since it is smaller than the sum of its proper divisors (7076176).

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

6806864 is a wasteful number, since it uses less digits than its factorization.

6806864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22418 (or 22412 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 6806864 is about 2608.9967420447. The cubic root of 6806864 is about 189.5173715809.

The spelling of 6806864 in words is "six million, eight hundred six thousand, eight hundred sixty-four".