18057200 has 60 divisors (see below), whose sum is σ = 49587600. Its totient is φ = 6190080.

The previous prime is 18057199. The next prime is 18057203. The reversal of 18057200 is 275081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18057203) 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, 425 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (826460).

Almost surely, 2^18057200 is an apocalyptic number.

18057200 is a gapful number since it is divisible by the number (10) 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 18057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24793800).

18057200 is an abundant number, since it is smaller than the sum of its proper divisors (31530400).

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

18057200 is a wasteful number, since it uses less digits than its factorization.

18057200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 18057200 is about 4249.3764248416. The cubic root of 18057200 is about 262.3514503426.

The spelling of 18057200 in words is "eighteen million, fifty-seven thousand, two hundred".