18868000 has 96 divisors (see below), whose sum is σ = 47764080. Its totient is φ = 7321600.

The previous prime is 18867973. The next prime is 18868001. The reversal of 18868000 is 86881.

It can be written as a sum of positive squares in 8 ways, for example, as 309136 + 18558864 = 556^2 + 4308^2 .

It is not an unprimeable number, because it can be changed into a prime (18868001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211956 + ... + 212044.

Almost surely, 2^18868000 is an apocalyptic number.

18868000 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 18868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882040).

18868000 is an abundant number, since it is smaller than the sum of its proper divisors (28896080).

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

18868000 is an equidigital number, since it uses as much as digits as its factorization.

18868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 18868000 is about 4343.7311150669. The cubic root of 18868000 is about 266.2207826462.

The spelling of 18868000 in words is "eighteen million, eight hundred sixty-eight thousand".