18705984 has 112 divisors (see below), whose sum is σ = 57278016. Its totient is φ = 5324800.

The previous prime is 18705983. The next prime is 18706003. The reversal of 18705984 is 48950781.

It is not an unprimeable number, because it can be changed into a prime (18705983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35644 + ... + 36164.

Almost surely, 2^18705984 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 18705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28639008).

18705984 is an abundant number, since it is smaller than the sum of its proper divisors (38572032).

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

18705984 is a wasteful number, since it uses less digits than its factorization.

18705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 18705984 is about 4325.0415026910. The cubic root of 18705984 is about 265.4565950586.

The spelling of 18705984 in words is "eighteen million, seven hundred five thousand, nine hundred eighty-four".