18003792 has 60 divisors (see below), whose sum is σ = 49133760. Its totient is φ = 5679936.

The previous prime is 18003787. The next prime is 18003803. The reversal of 18003792 is 29730081.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 16809 + ... + 17847.

It is an arithmetic number, because the mean of its divisors is an integer number (818896).

Almost surely, 2^18003792 is an apocalyptic number.

18003792 is a gapful number since it is divisible by the number (12) 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 18003792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).

18003792 is an abundant number, since it is smaller than the sum of its proper divisors (31129968).

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

18003792 is a wasteful number, since it uses less digits than its factorization.

18003792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 18003792 is about 4243.0875550712. The cubic root of 18003792 is about 262.0925415572.

The spelling of 18003792 in words is "eighteen million, three thousand, seven hundred ninety-two".