18123264 has 200 divisors, whose sum is σ = 59415840. Its totient is φ = 5474304.

The previous prime is 18123263. The next prime is 18123323. The reversal of 18123264 is 46232181.

It is a Harshad number since it is a multiple of its sum of digits (27).

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.

Its product of digits (2304) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (18123263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787957 + ... + 787979.

Almost surely, 2^18123264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707920).

18123264 is an abundant number, since it is smaller than the sum of its proper divisors (41292576).

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

18123264 is an equidigital number, since it uses as much as digits as its factorization.

18123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 18123264 is about 4257.1427037392. The cubic root of 18123264 is about 262.6710069398.

The spelling of 18123264 in words is "eighteen million, one hundred twenty-three thousand, two hundred sixty-four".