6838900 has 18 divisors (see below), whose sum is σ = 14840630. Its totient is φ = 2735520.

The previous prime is 6838883. The next prime is 6838919. The reversal of 6838900 is 98386.

6838900 = T₃₈₉ + T₃₉₀ + ... + T₄₆₃.

It can be written as a sum of positive squares in 3 ways, for example, as 1136356 + 5702544 = 1066^2 + 2388^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 34095 + ... + 34294.

Almost surely, 2^6838900 is an apocalyptic number.

It is an amenable number.

6838900 is an abundant number, since it is smaller than the sum of its proper divisors (8001730).

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

6838900 is a wasteful number, since it uses less digits than its factorization.

6838900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68403 (or 68396 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 6838900 is about 2615.1290599127. The cubic root of 6838900 is about 189.8142228432.

The spelling of 6838900 in words is "six million, eight hundred thirty-eight thousand, nine hundred".