1806198900 has 144 divisors (see below), whose sum is σ = 6001282560. Its totient is φ = 414806400.

The previous prime is 1806198887. The next prime is 1806198907. The reversal of 1806198900 is 98916081.

It is a super-2 number, since 2×1806198900² = 6524708932722420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806198907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48297 + ... + 77103.

Almost surely, 2^1806198900 is an apocalyptic number.

1806198900 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 1806198900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000641280).

1806198900 is an abundant number, since it is smaller than the sum of its proper divisors (4195083660).

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

1806198900 is a wasteful number, since it uses less digits than its factorization.

1806198900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28854 (or 28847 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 1806198900 is about 42499.3988192774. The cubic root of 1806198900 is about 1217.8352051762.

The spelling of 1806198900 in words is "one billion, eight hundred six million, one hundred ninety-eight thousand, nine hundred".