18864000 has 192 divisors, whose sum is σ = 68262480. Its totient is φ = 4992000.

The previous prime is 18863987. The next prime is 18864023. The reversal of 18864000 is 46881.

18864000 is a `hidden beast` number, since 18 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143935 + ... + 144065.

Almost surely, 2^18864000 is an apocalyptic number.

18864000 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 18864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34131240).

18864000 is an abundant number, since it is smaller than the sum of its proper divisors (49398480).

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

18864000 is a wasteful number, since it uses less digits than its factorization.

18864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18864000 is about 4343.2706570049. The cubic root of 18864000 is about 266.2019684566.

It can be divided in two parts, 1886 and 4000, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 18864000 in words is "eighteen million, eight hundred sixty-four thousand".