11680768 has 88 divisors (see below), whose sum is σ = 27413424. Its totient is φ = 4915200.

The previous prime is 11680759. The next prime is 11680771. The reversal of 11680768 is 86708611.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 191458 + ... + 191518.

Almost surely, 2^11680768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706712).

11680768 is an abundant number, since it is smaller than the sum of its proper divisors (15732656).

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

11680768 is a wasteful number, since it uses less digits than its factorization.

11680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 11680768 is about 3417.7138557814. The cubic root of 11680768 is about 226.8944116179.

The spelling of 11680768 in words is "eleven million, six hundred eighty thousand, seven hundred sixty-eight".