11511680 has 32 divisors (see below), whose sum is σ = 27521640. Its totient is φ = 4604416.

The previous prime is 11511679. The next prime is 11511691. The reversal of 11511680 is 8611511.

It is a happy number.

11511680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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, 8354 + ... + 9633.

Almost surely, 2^11511680 is an apocalyptic number.

11511680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11511680 is an abundant number, since it is smaller than the sum of its proper divisors (16009960).

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

11511680 is an equidigital number, since it uses as much as digits as its factorization.

11511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18006 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 11511680 is about 3392.8866765632. The cubic root of 11511680 is about 225.7942628663.

The spelling of 11511680 in words is "eleven million, five hundred eleven thousand, six hundred eighty".