18023200 has 72 divisors (see below), whose sum is σ = 47411028. Its totient is φ = 6650880.

The previous prime is 18023197. The next prime is 18023219. The reversal of 18023200 is 232081.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2999824 + 15023376 = 1732^2 + 3876^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9534 + ... + 11266.

Almost surely, 2^18023200 is an apocalyptic number.

18023200 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 18023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705514).

18023200 is an abundant number, since it is smaller than the sum of its proper divisors (29387828).

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

18023200 is a wasteful number, since it uses less digits than its factorization.

18023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 18023200 is about 4245.3739529045. The cubic root of 18023200 is about 262.1866858969.

Adding to 18023200 its reverse (232081), we get a palindrome (18255281).

The spelling of 18023200 in words is "eighteen million, twenty-three thousand, two hundred".