6045200 has 120 divisors (see below), whose sum is σ = 17713152. Its totient is φ = 1935360.

The previous prime is 6045191. The next prime is 6045223. The reversal of 6045200 is 25406.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47537 + ... + 47663.

Almost surely, 2^6045200 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 6045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856576).

6045200 is an abundant number, since it is smaller than the sum of its proper divisors (11667952).

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

6045200 is a wasteful number, since it uses less digits than its factorization.

6045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 6045200 is about 2458.6988428842. The cubic root of 6045200 is about 182.1672174079.

The spelling of 6045200 in words is "six million, forty-five thousand, two hundred".