18633216 has 80 divisors (see below), whose sum is σ = 56764224. Its totient is φ = 5320704.

The previous prime is 18633193. The next prime is 18633217. The reversal of 18633216 is 61233681.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18633217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9886 + ... + 11618.

Almost surely, 2^18633216 is an apocalyptic number.

18633216 is a gapful number since it is divisible by the number (16) 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 18633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28382112).

18633216 is an abundant number, since it is smaller than the sum of its proper divisors (38131008).

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

18633216 is an equidigital number, since it uses as much as digits as its factorization.

18633216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1745 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 18633216 is about 4316.6209006583. The cubic root of 18633216 is about 265.1119308813. Note that the first 3 decimals are identical.

Adding to 18633216 its reverse (61233681), we get a palindrome (79866897).

The spelling of 18633216 in words is "eighteen million, six hundred thirty-three thousand, two hundred sixteen".