6826900 has 36 divisors (see below), whose sum is σ = 14928732. Its totient is φ = 2709760.

The previous prime is 6826873. The next prime is 6826901. The reversal of 6826900 is 96286.

It can be written as a sum of positive squares in 6 ways, for example, as 4356 + 6822544 = 66^2 + 2612^2 .

It is a super-2 number, since 2×6826900² = 93213127220000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23154 + ... + 23446.

It is an arithmetic number, because the mean of its divisors is an integer number (414687).

Almost surely, 2^6826900 is an apocalyptic number.

It is an amenable number.

6826900 is an abundant number, since it is smaller than the sum of its proper divisors (8101832).

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

6826900 is a wasteful number, since it uses less digits than its factorization.

6826900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 6826900 is about 2612.8337107440. The cubic root of 6826900 is about 189.7031375215.

The spelling of 6826900 in words is "six million, eight hundred twenty-six thousand, nine hundred".