18180800 has 84 divisors (see below), whose sum is σ = 48850296. Its totient is φ = 6604800.

The previous prime is 18180797. The next prime is 18180809. The reversal of 18180800 is 808181.

It is a self number, because there is not a number n which added to its sum of digits gives 18180800.

It is not an unprimeable number, because it can be changed into a prime (18180809) 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, 17084 + ... + 18116.

Almost surely, 2^18180800 is an apocalyptic number.

18180800 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 18180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425148).

18180800 is an abundant number, since it is smaller than the sum of its proper divisors (30669496).

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

18180800 is a wasteful number, since it uses less digits than its factorization.

18180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 18180800 is about 4263.8949330395. The cubic root of 18180800 is about 262.9486808743.

Adding to 18180800 its reverse (808181), we get a palindrome (18988981).

The spelling of 18180800 in words is "eighteen million, one hundred eighty thousand, eight hundred".