11680767 has 48 divisors (see below), whose sum is σ = 20565600. Its totient is φ = 6613488.

The previous prime is 11680759. The next prime is 11680771. The reversal of 11680767 is 76708611.

It is a happy number.

It is not a de Polignac number, because 11680767 - 2³ = 11680759 is a prime.

It is a super-3 number, since 3×11680767³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107109 + ... + 107217.

It is an arithmetic number, because the mean of its divisors is an integer number (428450).

It is a vampire number, since it can be written as 1701 ⋅ 6867 (with its own digits).

Almost surely, 2^11680767 is an apocalyptic number.

11680767 is a deficient number, since it is larger than the sum of its proper divisors (8884833).

11680767 is an frugal number, since it uses more digits than its factorization.

11680767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

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

The square root of 11680767 is about 3417.7137094847. The cubic root of 11680767 is about 226.8944051430.

The spelling of 11680767 in words is "eleven million, six hundred eighty thousand, seven hundred sixty-seven".