18108000 has 144 divisors (see below), whose sum is σ = 64393056. Its totient is φ = 4819200.

The previous prime is 18107993. The next prime is 18108001. The reversal of 18108000 is 80181.

It is a happy number.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18108001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35749 + ... + 36251.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^18108000 is an apocalyptic number.

18108000 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 18108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528).

18108000 is an abundant number, since it is smaller than the sum of its proper divisors (46285056).

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

18108000 is a wasteful number, since it uses less digits than its factorization.

18108000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 18108000 is about 4255.3495743593. The cubic root of 18108000 is about 262.5972428836.

Adding to 18108000 its reverse (80181), we get a palindrome (18188181).

The spelling of 18108000 in words is "eighteen million, one hundred eight thousand".