18033920 has 72 divisors (see below), whose sum is σ = 44015496. Its totient is φ = 7077888.

The previous prime is 18033919. The next prime is 18033931. The reversal of 18033920 is 2933081.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 17172736 = 928^2 + 4144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18033920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93344 + ... + 93536.

Almost surely, 2^18033920 is an apocalyptic number.

18033920 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 18033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22007748).

18033920 is an abundant number, since it is smaller than the sum of its proper divisors (25981576).

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

18033920 is an equidigital number, since it uses as much as digits as its factorization.

18033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 18033920 is about 4246.6363159564. The cubic root of 18033920 is about 262.2386575077.

The spelling of 18033920 in words is "eighteen million, thirty-three thousand, nine hundred twenty".