18006000 has 80 divisors (see below), whose sum is σ = 58070688. Its totient is φ = 4800000.

The previous prime is 18005993. The next prime is 18006017. The reversal of 18006000 is 60081.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4500 + ... + 7500.

Almost surely, 2^18006000 is an apocalyptic number.

18006000 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 18006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29035344).

18006000 is an abundant number, since it is smaller than the sum of its proper divisors (40064688).

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

18006000 is a wasteful number, since it uses less digits than its factorization.

18006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 18006000 is about 4243.3477349847. The cubic root of 18006000 is about 262.1032555348.

Adding to 18006000 its reverse (60081), we get a palindrome (18066081).

It can be divided in two parts, 1 and 8006000, that added together give a triangular number (8006001 = T₄₀₀₁).

The spelling of 18006000 in words is "eighteen million, six thousand".