18282240 has 216 divisors, whose sum is σ = 67819920. Its totient is φ = 4663296.

The previous prime is 18282203. The next prime is 18282283. The reversal of 18282240 is 4228281.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 794869 + ... + 794891.

Almost surely, 2^18282240 is an apocalyptic number.

18282240 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 18282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33909960).

18282240 is an abundant number, since it is smaller than the sum of its proper divisors (49537680).

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

18282240 is an equidigital number, since it uses as much as digits as its factorization.

18282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18282240 is about 4275.7736142130. The cubic root of 18282240 is about 263.4368159580.

The spelling of 18282240 in words is "eighteen million, two hundred eighty-two thousand, two hundred forty".