11686320 has 60 divisors (see below), whose sum is σ = 39248976. Its totient is φ = 3116160.

The previous prime is 11686313. The next prime is 11686321. The reversal of 11686320 is 2368611.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (11686321) 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, 7396 + ... + 8835.

Almost surely, 2^11686320 is an apocalyptic number.

11686320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11686320 is an abundant number, since it is smaller than the sum of its proper divisors (27562656).

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

11686320 is a wasteful number, since it uses less digits than its factorization.

11686320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250 (or 16241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11686320 is about 3418.5259981460. The cubic root of 11686320 is about 226.9303544098.

It can be divided in two parts, 116 and 86320, that added together give a square (86436 = 294²).

The spelling of 11686320 in words is "eleven million, six hundred eighty-six thousand, three hundred twenty".