18036800 has 42 divisors (see below), whose sum is σ = 44385738. Its totient is φ = 7214080.

The previous prime is 18036791. The next prime is 18036817. The reversal of 18036800 is 863081.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 17774656 = 512^2 + 4216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18036800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4037 + ... + 7236.

Almost surely, 2^18036800 is an apocalyptic number.

18036800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18036800 is an abundant number, since it is smaller than the sum of its proper divisors (26348938).

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

18036800 is a wasteful number, since it uses less digits than its factorization.

18036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 18036800 is about 4246.9753943248. The cubic root of 18036800 is about 262.2526165200.

Adding to 18036800 its reverse (863081), we get a palindrome (18899881).

The spelling of 18036800 in words is "eighteen million, thirty-six thousand, eight hundred".