6808100 has 36 divisors (see below), whose sum is σ = 15913044. Its totient is φ = 2513280.

The previous prime is 6808097. The next prime is 6808103. The reversal of 6808100 is 18086.

It is an interprime number because it is at equal distance from previous prime (6808097) and next prime (6808103).

It can be written as a sum of positive squares in 6 ways, for example, as 131044 + 6677056 = 362^2 + 2584^2 .

It is a super-2 number, since 2×6808100² = 92700451220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6808103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1319 + ... + 3918.

It is an arithmetic number, because the mean of its divisors is an integer number (442029).

Almost surely, 2^6808100 is an apocalyptic number.

It is an amenable number.

6808100 is an abundant number, since it is smaller than the sum of its proper divisors (9104944).

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

6808100 is a wasteful number, since it uses less digits than its factorization.

6808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 6808100 is about 2609.2336039535. The cubic root of 6808100 is about 189.5288418308.

The spelling of 6808100 in words is "six million, eight hundred eight thousand, one hundred".