18105984 has 192 divisors, whose sum is σ = 59731200. Its totient is φ = 5391360.

The previous prime is 18105977. The next prime is 18106027. The reversal of 18105984 is 48950181.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584049 + ... + 584079.

It is an arithmetic number, because the mean of its divisors is an integer number (311100).

Almost surely, 2^18105984 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 18105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865600).

18105984 is an abundant number, since it is smaller than the sum of its proper divisors (41625216).

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

18105984 is a wasteful number, since it uses less digits than its factorization.

18105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 18105984 is about 4255.1126894596. The cubic root of 18105984 is about 262.5874973625.

The spelling of 18105984 in words is "eighteen million, one hundred five thousand, nine hundred eighty-four".