18003000 has 128 divisors (see below), whose sum is σ = 59641920. Its totient is φ = 4505600.

The previous prime is 18002993. The next prime is 18003001. The reversal of 18003000 is 30081.

18003000 is a nontrivial binomial coefficient, being equal to C(6001, 2).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18003001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50824 + ... + 51176.

Almost surely, 2^18003000 is an apocalyptic number.

18003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18003000 is the 6000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820960).

18003000 is an abundant number, since it is smaller than the sum of its proper divisors (41638920).

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

18003000 is a wasteful number, since it uses less digits than its factorization.

18003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 18003000 is about 4242.9942257797. The cubic root of 18003000 is about 262.0886982865.

Adding to 18003000 its reverse (30081), we get a palindrome (18033081).

The spelling of 18003000 in words is "eighteen million, three thousand".