11665680 has 80 divisors (see below), whose sum is σ = 38955840. Its totient is φ = 2870784.

The previous prime is 11665679. The next prime is 11665691. The reversal of 11665680 is 8656611.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1251 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (486948).

Almost surely, 2^11665680 is an apocalyptic number.

11665680 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 11665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19477920).

11665680 is an abundant number, since it is smaller than the sum of its proper divisors (27290160).

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

11665680 is a wasteful number, since it uses less digits than its factorization.

11665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3762 counting only the distinct ones).

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

The square root of 11665680 is about 3415.5058190552. The cubic root of 11665680 is about 226.7966766650.

The spelling of 11665680 in words is "eleven million, six hundred sixty-five thousand, six hundred eighty".