18005792 has 48 divisors (see below), whose sum is σ = 41836032. Its totient is φ = 7464960.

The previous prime is 18005783. The next prime is 18005807. The reversal of 18005792 is 29750081.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 5648 + ... + 8240.

It is an arithmetic number, because the mean of its divisors is an integer number (871584).

Almost surely, 2^18005792 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 18005792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918016).

18005792 is an abundant number, since it is smaller than the sum of its proper divisors (23830240).

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

18005792 is a wasteful number, since it uses less digits than its factorization.

18005792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 18005792 is about 4243.3232259633. The cubic root of 18005792 is about 262.1022462844.

The spelling of 18005792 in words is "eighteen million, five thousand, seven hundred ninety-two".