18249984 has 81 divisors (see below), whose sum is σ = 53217073. Its totient is φ = 6014976.

The previous prime is 18249947. The next prime is 18249997. The reversal of 18249984 is 48994281.

The square root of 18249984 is 4272.

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

18249984 is a `hidden beast` number, since 1 + 82 + 499 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 14745600 = 1872^2 + 3840^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 205012 + ... + 205100.

Almost surely, 2^18249984 is an apocalyptic number.

18249984 is the 4272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18249984

18249984 is an abundant number, since it is smaller than the sum of its proper divisors (34967089).

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

18249984 is an frugal number, since it uses more digits than its factorization.

18249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 94 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 18249984 is about 263.2817944677.

The spelling of 18249984 in words is "eighteen million, two hundred forty-nine thousand, nine hundred eighty-four".