18983664 has 120 divisors (see below), whose sum is σ = 62481120. Its totient is φ = 5266944.

The previous prime is 18983659. The next prime is 18983689. The reversal of 18983664 is 46638981.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37042 + ... + 37550.

It is an arithmetic number, because the mean of its divisors is an integer number (520676).

Almost surely, 2^18983664 is an apocalyptic number.

18983664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18983664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240560).

18983664 is an abundant number, since it is smaller than the sum of its proper divisors (43497456).

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

18983664 is a wasteful number, since it uses less digits than its factorization.

18983664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18983664 is about 4357.0246728702. The cubic root of 18983664 is about 266.7636674892.

The spelling of 18983664 in words is "eighteen million, nine hundred eighty-three thousand, six hundred sixty-four".