6085200 has 120 divisors (see below), whose sum is σ = 21311136. Its totient is φ = 1472000.

The previous prime is 6085199. The next prime is 6085213. The reversal of 6085200 is 25806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12970 + ... + 13430.

Almost surely, 2^6085200 is an apocalyptic number.

6085200 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 6085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655568).

6085200 is an abundant number, since it is smaller than the sum of its proper divisors (15225936).

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

6085200 is a wasteful number, since it uses less digits than its factorization.

6085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 482 counting only the distinct ones).

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

The square root of 6085200 is about 2466.8198150655. The cubic root of 6085200 is about 182.5681236888.

The spelling of 6085200 in words is "six million, eighty-five thousand, two hundred".