18116800 has 126 divisors (see below), whose sum is σ = 48992028. Its totient is φ = 6589440.

The previous prime is 18116797. The next prime is 18116807. The reversal of 18116800 is 861181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (18116807) 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, 270367 + ... + 270433.

Almost surely, 2^18116800 is an apocalyptic number.

18116800 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 18116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24496014).

18116800 is an abundant number, since it is smaller than the sum of its proper divisors (30875228).

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

18116800 is a wasteful number, since it uses less digits than its factorization.

18116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 18116800 is about 4256.3834413737. The cubic root of 18116800 is about 262.6397743890.

Adding to 18116800 its reverse (861181), we get a palindrome (18977981).

It can be divided in two parts, 1 and 8116800, that added together give a square (8116801 = 2849²).

The spelling of 18116800 in words is "eighteen million, one hundred sixteen thousand, eight hundred".