18468864 has 104 divisors (see below), whose sum is σ = 55043520. Its totient is φ = 6119424.

The previous prime is 18468859. The next prime is 18468871. The reversal of 18468864 is 46886481.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 110509 + ... + 110675.

Almost surely, 2^18468864 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 18468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521760).

18468864 is an abundant number, since it is smaller than the sum of its proper divisors (36574656).

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

18468864 is an equidigital number, since it uses as much as digits as its factorization.

18468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 18468864 is about 4297.5416228351. The cubic root of 18468864 is about 264.3301654266.

The spelling of 18468864 in words is "eighteen million, four hundred sixty-eight thousand, eight hundred sixty-four".