18000864 has 72 divisors (see below), whose sum is σ = 58509360. Its totient is φ = 5142528.

The previous prime is 18000821. The next prime is 18000869. The reversal of 18000864 is 46800081.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18000864² = 648062209492992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18000869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2449 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (812630).

Almost surely, 2^18000864 is an apocalyptic number.

18000864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18000864 is an abundant number, since it is smaller than the sum of its proper divisors (40508496).

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

18000864 is a wasteful number, since it uses less digits than its factorization.

18000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952 (or 8941 counting only the distinct ones).

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

The square root of 18000864 is about 4242.7425092739. The cubic root of 18000864 is about 262.0783325400.

The spelling of 18000864 in words is "eighteen million, eight hundred sixty-four", and thus it is an aban number.