18008800 has 36 divisors (see below), whose sum is σ = 43965936. Its totient is φ = 7203200.

The previous prime is 18008777. The next prime is 18008801. The reversal of 18008800 is 880081.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18008801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10456 + ... + 12055.

It is an arithmetic number, because the mean of its divisors is an integer number (1221276).

Almost surely, 2^18008800 is an apocalyptic number.

18008800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18008800 is an abundant number, since it is smaller than the sum of its proper divisors (25957136).

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

18008800 is a wasteful number, since it uses less digits than its factorization.

18008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22531 (or 22518 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 18008800 is about 4243.6776503406. The cubic root of 18008800 is about 262.1168408412.

Adding to 18008800 its reverse (880081), we get a palindrome (18888881).

The spelling of 18008800 in words is "eighteen million, eight thousand, eight hundred".