11506240 has 56 divisors (see below), whose sum is σ = 28099512. Its totient is φ = 4485120.

The previous prime is 11506213. The next prime is 11506249. The reversal of 11506240 is 4260511.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 10916416 = 768^2 + 3304^2 .

It is not an unprimeable number, because it can be changed into a prime (11506249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12682 + ... + 13558.

It is an arithmetic number, because the mean of its divisors is an integer number (501777).

Almost surely, 2^11506240 is an apocalyptic number.

11506240 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 11506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049756).

11506240 is an abundant number, since it is smaller than the sum of its proper divisors (16593272).

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

11506240 is an equidigital number, since it uses as much as digits as its factorization.

11506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11506240 is about 3392.0849045978. The cubic root of 11506240 is about 225.7586898852.

Adding to 11506240 its reverse (4260511), we get a palindrome (15766751).

The spelling of 11506240 in words is "eleven million, five hundred six thousand, two hundred forty".