11595680 has 72 divisors (see below), whose sum is σ = 28846692. Its totient is φ = 4404224.

The previous prime is 11595677. The next prime is 11595707. The reversal of 11595680 is 8659511.

11595680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11587216 + 8464 = 3404^2 + 92^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11595680.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84572 + ... + 84708.

Almost surely, 2^11595680 is an apocalyptic number.

11595680 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 11595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423346).

11595680 is an abundant number, since it is smaller than the sum of its proper divisors (17251012).

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

11595680 is a wasteful number, since it uses less digits than its factorization.

11595680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 11595680 is about 3405.2430162912. The cubic root of 11595680 is about 226.3421345703.

The spelling of 11595680 in words is "eleven million, five hundred ninety-five thousand, six hundred eighty".