11506688 has 44 divisors (see below), whose sum is σ = 24392052. Its totient is φ = 5406720.

The previous prime is 11506679. The next prime is 11506699. The reversal of 11506688 is 88660511.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 2458624 = 3008^2 + 1568^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17078 + ... + 17738.

Almost surely, 2^11506688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12196026).

11506688 is an abundant number, since it is smaller than the sum of its proper divisors (12885364).

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

11506688 is an equidigital number, since it uses as much as digits as its factorization.

11506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 11506688 is about 3392.1509400379. The cubic root of 11506688 is about 225.7616198484.

The spelling of 11506688 in words is "eleven million, five hundred six thousand, six hundred eighty-eight".