11667880 has 48 divisors (see below), whose sum is σ = 30544020. Its totient is φ = 3999744.

The previous prime is 11667869. The next prime is 11667883. The reversal of 11667880 is 8876611.

It can be written as a sum of positive squares in 2 ways, for example, as 9746884 + 1920996 = 3122^2 + 1386^2 .

It is a super-2 number, since 2×11667880² = 272278847388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11667883) 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, 1017 + ... + 4936.

Almost surely, 2^11667880 is an apocalyptic number.

11667880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11667880 is an abundant number, since it is smaller than the sum of its proper divisors (18876140).

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

11667880 is a wasteful number, since it uses less digits than its factorization.

11667880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5967 counting only the distinct ones).

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

The square root of 11667880 is about 3415.8278645154. The cubic root of 11667880 is about 226.8109327657.

The spelling of 11667880 in words is "eleven million, six hundred sixty-seven thousand, eight hundred eighty".