6810664 has 64 divisors (see below), whose sum is σ = 15868800. Its totient is φ = 2674944.

The previous prime is 6810653. The next prime is 6810673. The reversal of 6810664 is 4660186.

6810664 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39282 + ... + 39454.

It is an arithmetic number, because the mean of its divisors is an integer number (247950).

Almost surely, 2^6810664 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 6810664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934400).

6810664 is an abundant number, since it is smaller than the sum of its proper divisors (9058136).

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

6810664 is a wasteful number, since it uses less digits than its factorization.

6810664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6810664 is about 2609.7248897154. The cubic root of 6810664 is about 189.5526316772.

The spelling of 6810664 in words is "six million, eight hundred ten thousand, six hundred sixty-four".