18240000 has 200 divisors, whose sum is σ = 63917040. Its totient is φ = 4608000.

The previous prime is 18239993. The next prime is 18240007. The reversal of 18240000 is 4281.

It is an interprime number because it is at equal distance from previous prime (18239993) and next prime (18240007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (18240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959991 + ... + 960009.

Almost surely, 2^18240000 is an apocalyptic number.

18240000 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 18240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31958520).

18240000 is an abundant number, since it is smaller than the sum of its proper divisors (45677040).

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

18240000 is an frugal number, since it uses more digits than its factorization.

18240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 18240000 is about 4270.8313008125. The cubic root of 18240000 is about 263.2337746097.

Adding to 18240000 its reverse (4281), we get a palindrome (18244281).

The spelling of 18240000 in words is "eighteen million, two hundred forty thousand".