18612200 has 48 divisors (see below), whose sum is σ = 44779500. Its totient is φ = 7185920.

The previous prime is 18612157. The next prime is 18612211. The reversal of 18612200 is 221681.

It can be written as a sum of positive squares in 6 ways, for example, as 7496644 + 11115556 = 2738^2 + 3334^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4196 + ... + 7404.

Almost surely, 2^18612200 is an apocalyptic number.

18612200 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 18612200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22389750).

18612200 is an abundant number, since it is smaller than the sum of its proper divisors (26167300).

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

18612200 is a wasteful number, since it uses less digits than its factorization.

18612200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 18612200 is about 4314.1859023459. The cubic root of 18612200 is about 265.0122220541.

Adding to 18612200 its reverse (221681), we get a palindrome (18833881).

The spelling of 18612200 in words is "eighteen million, six hundred twelve thousand, two hundred".