18266112 has 72 divisors (see below), whose sum is σ = 52809120. Its totient is φ = 6082560.

The previous prime is 18266107. The next prime is 18266119. The reversal of 18266112 is 21166281.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18266119) 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, 17937 + ... + 18927.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 2^18266112 is an apocalyptic number.

18266112 is a gapful number since it is divisible by the number (12) 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 18266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404560).

18266112 is an abundant number, since it is smaller than the sum of its proper divisors (34543008).

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

18266112 is an equidigital number, since it uses as much as digits as its factorization.

18266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 996 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 18266112 is about 4273.8872235940. The cubic root of 18266112 is about 263.3593280255.

The spelling of 18266112 in words is "eighteen million, two hundred sixty-six thousand, one hundred twelve".