18638800 has 60 divisors (see below), whose sum is σ = 47431116. Its totient is φ = 7014400.

The previous prime is 18638779. The next prime is 18638803. The reversal of 18638800 is 883681.

It can be written as a sum of positive squares in 6 ways, for example, as 183184 + 18455616 = 428^2 + 4296^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18638803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5430 + ... + 8170.

Almost surely, 2^18638800 is an apocalyptic number.

18638800 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 18638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715558).

18638800 is an abundant number, since it is smaller than the sum of its proper divisors (28792316).

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

18638800 is a wasteful number, since it uses less digits than its factorization.

18638800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 18638800 is about 4317.2676544314. The cubic root of 18638800 is about 265.1384111405.

The spelling of 18638800 in words is "eighteen million, six hundred thirty-eight thousand, eight hundred".