6813664 has 48 divisors (see below), whose sum is σ = 15770160. Its totient is φ = 2856960.

The previous prime is 6813659. The next prime is 6813673. The reversal of 6813664 is 4663186.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3832 + ... + 5320.

It is an arithmetic number, because the mean of its divisors is an integer number (328545).

Almost surely, 2^6813664 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 6813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885080).

6813664 is an abundant number, since it is smaller than the sum of its proper divisors (8956496).

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

6813664 is a wasteful number, since it uses less digits than its factorization.

6813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1515 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 6813664 is about 2610.2995996628. The cubic root of 6813664 is about 189.5804593320.

The spelling of 6813664 in words is "six million, eight hundred thirteen thousand, six hundred sixty-four".