11589680 has 40 divisors (see below), whose sum is σ = 27094992. Its totient is φ = 4610304.

The previous prime is 11589679. The next prime is 11589719. The reversal of 11589680 is 8698511.

It is a tau number, because it is divible by the number of its divisors (40).

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, 21899 + ... + 22421.

Almost surely, 2^11589680 is an apocalyptic number.

11589680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11589680 is an abundant number, since it is smaller than the sum of its proper divisors (15505312).

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

11589680 is a wasteful number, since it uses less digits than its factorization.

11589680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 11589680 is about 3404.3619079058. The cubic root of 11589680 is about 226.3030887904.

The spelling of 11589680 in words is "eleven million, five hundred eighty-nine thousand, six hundred eighty".