18366800 has 120 divisors (see below), whose sum is σ = 48641976. Its totient is φ = 6635520.

The previous prime is 18366793. The next prime is 18366809. The reversal of 18366800 is 866381.

It can be written as a sum of positive squares in 12 ways, for example, as 287296 + 18079504 = 536^2 + 4252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18366809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251564 + ... + 251636.

Almost surely, 2^18366800 is an apocalyptic number.

18366800 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 18366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24320988).

18366800 is an abundant number, since it is smaller than the sum of its proper divisors (30275176).

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

18366800 is a wasteful number, since it uses less digits than its factorization.

18366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 18366800 is about 4285.6504757154. The cubic root of 18366800 is about 263.8423454181.

The spelling of 18366800 in words is "eighteen million, three hundred sixty-six thousand, eight hundred".