18006900 has 72 divisors (see below), whose sum is σ = 52538304. Its totient is φ = 4761600.

The previous prime is 18006899. The next prime is 18006917. The reversal of 18006900 is 960081.

It is a super-2 number, since 2×18006900² = 648496895220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57745 + ... + 58055.

Almost surely, 2^18006900 is an apocalyptic number.

18006900 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 18006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269152).

18006900 is an abundant number, since it is smaller than the sum of its proper divisors (34531404).

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

18006900 is a wasteful number, since it uses less digits than its factorization.

18006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 18006900 is about 4243.4537820035. The cubic root of 18006900 is about 262.1076223940.

Adding to 18006900 its reverse (960081), we get a palindrome (18966981).

The spelling of 18006900 in words is "eighteen million, six thousand, nine hundred".