6857200 has 120 divisors (see below), whose sum is σ = 19681280. Its totient is φ = 2246400.

The previous prime is 6857189. The next prime is 6857203. The reversal of 6857200 is 27586.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86761 + ... + 86839.

Almost surely, 2^6857200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840640).

6857200 is an abundant number, since it is smaller than the sum of its proper divisors (12824080).

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

6857200 is a wasteful number, since it uses less digits than its factorization.

6857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 6857200 is about 2618.6255937037. The cubic root of 6857200 is about 189.9833780473.

The spelling of 6857200 in words is "six million, eight hundred fifty-seven thousand, two hundred".