18314240 has 132 divisors (see below), whose sum is σ = 51805476. Its totient is φ = 6193152.

The previous prime is 18314221. The next prime is 18314243. The reversal of 18314240 is 4241381.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 9834496 = 2912^2 + 3136^2 .

It is a super-3 number, since 3×18314240³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18314243) 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, 250844 + ... + 250916.

Almost surely, 2^18314240 is an apocalyptic number.

18314240 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 18314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25902738).

18314240 is an abundant number, since it is smaller than the sum of its proper divisors (33491236).

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

18314240 is an equidigital number, since it uses as much as digits as its factorization.

18314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 18314240 is about 4279.5139910976. The cubic root of 18314240 is about 263.5904270484.

The spelling of 18314240 in words is "eighteen million, three hundred fourteen thousand, two hundred forty".