11566680 has 64 divisors (see below), whose sum is σ = 35048160. Its totient is φ = 3053568.

The previous prime is 11566673. The next prime is 11566691. The reversal of 11566680 is 8666511.

11566680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13134 + ... + 13986.

Almost surely, 2^11566680 is an apocalyptic number.

11566680 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 11566680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524080).

11566680 is an abundant number, since it is smaller than the sum of its proper divisors (23481480).

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

11566680 is a wasteful number, since it uses less digits than its factorization.

11566680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 11566680 is about 3400.9822110679. The cubic root of 11566680 is about 226.1532883365.

It can be divided in two parts, 11566 and 680, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 11566680 in words is "eleven million, five hundred sixty-six thousand, six hundred eighty".