6285200 has 60 divisors (see below), whose sum is σ = 15914160. Its totient is φ = 2378880.

The previous prime is 6285193. The next prime is 6285221. The reversal of 6285200 is 25826.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7187 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (265236).

Almost surely, 2^6285200 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 6285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957080).

6285200 is an abundant number, since it is smaller than the sum of its proper divisors (9628960).

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

6285200 is a wasteful number, since it uses less digits than its factorization.

6285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 6285200 is about 2507.0301154952. The cubic root of 6285200 is about 184.5467355159.

The spelling of 6285200 in words is "six million, two hundred eighty-five thousand, two hundred".