18636900 has 144 divisors (see below), whose sum is σ = 58579584. Its totient is φ = 4561920.

The previous prime is 18636899. The next prime is 18636907. The reversal of 18636900 is 963681.

It is a super-2 number, since 2×18636900² = 694668083220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18636907) 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, 255264 + ... + 255336.

Almost surely, 2^18636900 is an apocalyptic number.

18636900 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 18636900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29289792).

18636900 is an abundant number, since it is smaller than the sum of its proper divisors (39942684).

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

18636900 is a wasteful number, since it uses less digits than its factorization.

18636900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 18636900 is about 4317.0476022393. The cubic root of 18636900 is about 265.1294016173.

The spelling of 18636900 in words is "eighteen million, six hundred thirty-six thousand, nine hundred".