18206900 has 36 divisors (see below), whose sum is σ = 39937548. Its totient is φ = 7203840.

The previous prime is 18206891. The next prime is 18206917. The reversal of 18206900 is 960281.

It can be written as a sum of positive squares in 6 ways, for example, as 195364 + 18011536 = 442^2 + 4244^2 .

It is a super-2 number, since 2×18206900² = 662982415220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18206900.

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 11 ways as a sum of consecutive naturals, for example, 8762 + ... + 10638.

Almost surely, 2^18206900 is an apocalyptic number.

18206900 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 18206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19968774).

18206900 is an abundant number, since it is smaller than the sum of its proper divisors (21730648).

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

18206900 is a wasteful number, since it uses less digits than its factorization.

18206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 18206900 is about 4266.9544173802. The cubic root of 18206900 is about 263.0744487004.

The spelling of 18206900 in words is "eighteen million, two hundred six thousand, nine hundred".