18066800 has 90 divisors (see below), whose sum is σ = 45805104. Its totient is φ = 6844800.

The previous prime is 18066749. The next prime is 18066809. The reversal of 18066800 is 866081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18066809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384377 + ... + 384423.

Almost surely, 2^18066800 is an apocalyptic number.

18066800 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 18066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902552).

18066800 is an abundant number, since it is smaller than the sum of its proper divisors (27738304).

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

18066800 is a wasteful number, since it uses less digits than its factorization.

18066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 18066800 is about 4250.5058522486. The cubic root of 18066800 is about 262.3979346209.

The spelling of 18066800 in words is "eighteen million, sixty-six thousand, eight hundred".