18738564 has 48 divisors (see below), whose sum is σ = 47548032. Its totient is φ = 5709312.

The previous prime is 18738547. The next prime is 18738581. The reversal of 18738564 is 46583781.

It is an interprime number because it is at equal distance from previous prime (18738547) and next prime (18738581).

It is a super-2 number, since 2×18738564² = 702267561564192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17097 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (990584).

Almost surely, 2^18738564 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 18738564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774016).

18738564 is an abundant number, since it is smaller than the sum of its proper divisors (28809468).

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

18738564 is a wasteful number, since it uses less digits than its factorization.

18738564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 18738564 is about 4328.8063019729. The cubic root of 18738564 is about 265.6106199182.

The spelling of 18738564 in words is "eighteen million, seven hundred thirty-eight thousand, five hundred sixty-four".