18005730 has 64 divisors (see below), whose sum is σ = 47001600. Its totient is φ = 4397760.

The previous prime is 18005707. The next prime is 18005731. The reversal of 18005730 is 3750081.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 18005730.

It is not an unprimeable number, because it can be changed into a prime (18005731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17161 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^18005730 is an apocalyptic number.

18005730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18005730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500800).

18005730 is an abundant number, since it is smaller than the sum of its proper divisors (28995870).

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

18005730 is a wasteful number, since it uses less digits than its factorization.

18005730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 18005730 is about 4243.3159203623. The cubic root of 18005730 is about 262.1019454487.

The spelling of 18005730 in words is "eighteen million, five thousand, seven hundred thirty".