18033120 has 144 divisors (see below), whose sum is σ = 70368480. Its totient is φ = 4119552.

The previous prime is 18033083. The next prime is 18033133. The reversal of 18033120 is 2133081.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18033093 and 18033102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9186 + ... + 10974.

It is an arithmetic number, because the mean of its divisors is an integer number (488670).

Almost surely, 2^18033120 is an apocalyptic number.

18033120 is a gapful number since it is divisible by the number (10) 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 18033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35184240).

18033120 is an abundant number, since it is smaller than the sum of its proper divisors (52335360).

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

18033120 is a wasteful number, since it uses less digits than its factorization.

18033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 18033120 is about 4246.5421227158. The cubic root of 18033120 is about 262.2347797406.

The spelling of 18033120 in words is "eighteen million, thirty-three thousand, one hundred twenty".