18188064 has 72 divisors (see below), whose sum is σ = 53660880. Its totient is φ = 6060096.

The previous prime is 18188059. The next prime is 18188069. The reversal of 18188064 is 46088181.

It is an interprime number because it is at equal distance from previous prime (18188059) and next prime (18188069).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18188069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6607 + ... + 8945.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^18188064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

18188064 is an abundant number, since it is smaller than the sum of its proper divisors (35472816).

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

18188064 is an equidigital number, since it uses as much as digits as its factorization.

18188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18188064 is about 4264.7466513264. The cubic root of 18188064 is about 262.9836959248.

The spelling of 18188064 in words is "eighteen million, one hundred eighty-eight thousand, sixty-four".