6865200 has 90 divisors (see below), whose sum is σ = 23836644. Its totient is φ = 1829760.

The previous prime is 6865169. The next prime is 6865211. The reversal of 6865200 is 25686.

6865200 is a `hidden beast` number, since 6 + 8 + 652 + 0 + 0 = 666.

6865200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 2647 + ... + 4553.

Almost surely, 2^6865200 is an apocalyptic number.

6865200 is a gapful number since it is divisible by the number (60) 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 6865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918322).

6865200 is an abundant number, since it is smaller than the sum of its proper divisors (16971444).

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

6865200 is a wasteful number, since it uses less digits than its factorization.

6865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6865200 is about 2620.1526673078. The cubic root of 6865200 is about 190.0572311434.

It can be divided in two parts, 686 and 5200, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 6865200 in words is "six million, eight hundred sixty-five thousand, two hundred".