856200 has 48 divisors (see below), whose sum is σ = 2656080. Its totient is φ = 228160.

The previous prime is 856187. The next prime is 856213. The reversal of 856200 is 2658.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (856187) and next prime (856213).

It is an unprimeable number.

856200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (55335).

2⁸⁵⁶²⁰⁰ 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 856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040).

856200 is an abundant number, since it is smaller than the sum of its proper divisors (1799880).

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

856200 is a wasteful number, since it uses less digits than its factorization.

856200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 856200 is about 925.3107586103. The cubic root of 856200 is about 94.9565821912.

Adding to 856200 its reverse (2658), we get a palindrome (858858).

The spelling of 856200 in words is "eight hundred fifty-six thousand, two hundred".