18666000 has 240 divisors, whose sum is σ = 70160688. Its totient is φ = 4608000.

The previous prime is 18665993. The next prime is 18666023. The reversal of 18666000 is 66681.

It can be written as a sum of positive squares in 8 ways, for example, as 8856576 + 9809424 = 2976^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305970 + ... + 306030.

Almost surely, 2^18666000 is an apocalyptic number.

18666000 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 18666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35080344).

18666000 is an abundant number, since it is smaller than the sum of its proper divisors (51494688).

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

18666000 is a wasteful number, since it uses less digits than its factorization.

18666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18666000 is about 4320.4166465747. The cubic root of 18666000 is about 265.2673225069.

The spelling of 18666000 in words is "eighteen million, six hundred sixty-six thousand".