11518240 has 48 divisors (see below), whose sum is σ = 27426168. Its totient is φ = 4571136.

The previous prime is 11518223. The next prime is 11518261. The reversal of 11518240 is 4281511.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 3429904 = 2844^2 + 1852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30694 + ... + 31066.

Almost surely, 2^11518240 is an apocalyptic number.

11518240 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 11518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713084).

11518240 is an abundant number, since it is smaller than the sum of its proper divisors (15907928).

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

11518240 is a wasteful number, since it uses less digits than its factorization.

11518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 11518240 is about 3393.8532673055. The cubic root of 11518240 is about 225.8371447942.

Adding to 11518240 its reverse (4281511), we get a palindrome (15799751).

The spelling of 11518240 in words is "eleven million, five hundred eighteen thousand, two hundred forty".