18766224 has 75 divisors (see below), whose sum is σ = 55437083. Its totient is φ = 5926176.

The previous prime is 18766211. The next prime is 18766303. The reversal of 18766224 is 42266781.

The square root of 18766224 is 4332.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (32256) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 987687 + ... + 987705.

Almost surely, 2^18766224 is an apocalyptic number.

18766224 is the 4332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18766224

18766224 is an abundant number, since it is smaller than the sum of its proper divisors (36670859).

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

18766224 is an frugal number, since it uses more digits than its factorization.

18766224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 24 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 18766224 is about 265.7412449729.

Multiplying 18766224 by its sum of digits (36), we get a square (675584064 = 25992²).

18766224 divided by its sum of digits (36) gives a square (521284 = 722²).

It can be divided in two parts, 1876 and 6224, that added together give a square (8100 = 90²).

The spelling of 18766224 in words is "eighteen million, seven hundred sixty-six thousand, two hundred twenty-four".