11686960 has 40 divisors (see below), whose sum is σ = 27315216. Its totient is φ = 4650240.

The previous prime is 11686951. The next prime is 11686979. The reversal of 11686960 is 6968611.

It is a tau number, because it is divible by the number of its divisors (40).

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, 27550 + ... + 27970.

Almost surely, 2^11686960 is an apocalyptic number.

11686960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11686960 is an abundant number, since it is smaller than the sum of its proper divisors (15628256).

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

11686960 is a wasteful number, since it uses less digits than its factorization.

11686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 11686960 is about 3418.6196044603. The cubic root of 11686960 is about 226.9344969392.

It can be divided in two parts, 1168 and 6960, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 11686960 in words is "eleven million, six hundred eighty-six thousand, nine hundred sixty".