11686880 has 24 divisors (see below), whose sum is σ = 27610632. Its totient is φ = 4674688.

The previous prime is 11686867. The next prime is 11686901. The reversal of 11686880 is 8868611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36362 + ... + 36681.

It is an arithmetic number, because the mean of its divisors is an integer number (1150443).

Almost surely, 2^11686880 is an apocalyptic number.

11686880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11686880 is an abundant number, since it is smaller than the sum of its proper divisors (15923752).

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

11686880 is an equidigital number, since it uses as much as digits as its factorization.

11686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73058 (or 73050 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 11686880 is about 3418.6079038111. The cubic root of 11686880 is about 226.9339791313.

The spelling of 11686880 in words is "eleven million, six hundred eighty-six thousand, eight hundred eighty".