11680776 has 48 divisors (see below), whose sum is σ = 32242860. Its totient is φ = 3818880.

The previous prime is 11680771. The next prime is 11680793. The reversal of 11680776 is 67708611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 1758276 = 3150^2 + 1326^2 .

It is a super-3 number, since 3×11680776³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11680776.

It is not an unprimeable number, because it can be changed into a prime (11680771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2286 + ... + 5346.

Almost surely, 2^11680776 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 11680776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121430).

11680776 is an abundant number, since it is smaller than the sum of its proper divisors (20562084).

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

11680776 is a wasteful number, since it uses less digits than its factorization.

11680776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 11680776 is about 3417.7150261542. The cubic root of 11680776 is about 226.8944634168.

The spelling of 11680776 in words is "eleven million, six hundred eighty thousand, seven hundred seventy-six".