18306000 has 200 divisors, whose sum is σ = 66707784. Its totient is φ = 4838400.

The previous prime is 18305993. The next prime is 18306011. The reversal of 18306000 is 60381.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 13483584 = 2196^2 + 3672^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161944 + ... + 162056.

Almost surely, 2^18306000 is an apocalyptic number.

18306000 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 18306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33353892).

18306000 is an abundant number, since it is smaller than the sum of its proper divisors (48401784).

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

18306000 is a wasteful number, since it uses less digits than its factorization.

18306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

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

The square root of 18306000 is about 4278.5511566417. The cubic root of 18306000 is about 263.5508893091.

Adding to 18306000 its reverse (60381), we get a palindrome (18366381).

The spelling of 18306000 in words is "eighteen million, three hundred six thousand".