6858900 has 54 divisors (see below), whose sum is σ = 21501662. Its totient is φ = 1828800.

The previous prime is 6858869. The next prime is 6858913. The reversal of 6858900 is 98586.

6858900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1411344 + 5447556 = 1188^2 + 2334^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2911 + ... + 4710.

Almost surely, 2^6858900 is an apocalyptic number.

6858900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6858900 is an abundant number, since it is smaller than the sum of its proper divisors (14642762).

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

6858900 is a wasteful number, since it uses less digits than its factorization.

6858900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6858900 is about 2618.9501713473. The cubic root of 6858900 is about 189.9990766345. Note that the first 3 decimals are identical.

The spelling of 6858900 in words is "six million, eight hundred fifty-eight thousand, nine hundred".