6811904 has 72 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 2969600.

The previous prime is 6811891. The next prime is 6811913. The reversal of 6811904 is 4091186.

It is a super-2 number, since 2×6811904² = 92804072210432, which contains 22 as substring.

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, 115427 + ... + 115485.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 2^6811904 is an apocalyptic number.

6811904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

6811904 is an abundant number, since it is smaller than the sum of its proper divisors (8640736).

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

6811904 is a wasteful number, since it uses less digits than its factorization.

6811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 6811904 is about 2609.9624518372. The cubic root of 6811904 is about 189.5641347651.

The spelling of 6811904 in words is "six million, eight hundred eleven thousand, nine hundred four".