18868200 has 192 divisors, whose sum is σ = 65620800. Its totient is φ = 4454400.

The previous prime is 18868193. The next prime is 18868207. The reversal of 18868200 is 286881.

It is an interprime number because it is at equal distance from previous prime (18868193) and next prime (18868207).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18868207) 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, 319771 + ... + 319829.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 2^18868200 is an apocalyptic number.

18868200 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 18868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

18868200 is an abundant number, since it is smaller than the sum of its proper divisors (46752600).

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

18868200 is a wasteful number, since it uses less digits than its factorization.

18868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 18868200 is about 4343.7541366887. The cubic root of 18868200 is about 266.2217232859.

The spelling of 18868200 in words is "eighteen million, eight hundred sixty-eight thousand, two hundred".