11683360 has 96 divisors (see below), whose sum is σ = 30672432. Its totient is φ = 4177920.

The previous prime is 11683327. The next prime is 11683361. The reversal of 11683360 is 6338611.

It can be written as a sum of positive squares in 8 ways, for example, as 898704 + 10784656 = 948^2 + 3284^2 .

It is not an unprimeable number, because it can be changed into a prime (11683361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85212 + ... + 85348.

Almost surely, 2^11683360 is an apocalyptic number.

11683360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11683360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336216).

11683360 is an abundant number, since it is smaller than the sum of its proper divisors (18989072).

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

11683360 is a wasteful number, since it uses less digits than its factorization.

11683360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 11683360 is about 3418.0930355975. The cubic root of 11683360 is about 226.9111932433.

The spelling of 11683360 in words is "eleven million, six hundred eighty-three thousand, three hundred sixty".