18678200 has 48 divisors (see below), whose sum is σ = 44167560. Its totient is φ = 7344000.

The previous prime is 18678181. The next prime is 18678203. The reversal of 18678200 is 287681.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18678203) 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, 11435 + ... + 12965.

Almost surely, 2^18678200 is an apocalyptic number.

18678200 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 18678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083780).

18678200 is an abundant number, since it is smaller than the sum of its proper divisors (25489360).

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

18678200 is a wasteful number, since it uses less digits than its factorization.

18678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 18678200 is about 4321.8283168122. The cubic root of 18678200 is about 265.3251023655.

The spelling of 18678200 in words is "eighteen million, six hundred seventy-eight thousand, two hundred".