6057200 has 60 divisors (see below), whose sum is σ = 15337560. Its totient is φ = 2292480.

The previous prime is 6057199. The next prime is 6057209. The reversal of 6057200 is 27506.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6057209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7202 + ... + 7998.

It is an arithmetic number, because the mean of its divisors is an integer number (255626).

Almost surely, 2^6057200 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 6057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668780).

6057200 is an abundant number, since it is smaller than the sum of its proper divisors (9280360).

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

6057200 is a wasteful number, since it uses less digits than its factorization.

6057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 6057200 is about 2461.1379481858. The cubic root of 6057200 is about 182.2876745067.

The spelling of 6057200 in words is "six million, fifty-seven thousand, two hundred".