13185360 has 60 divisors (see below), whose sum is σ = 44283252. Its totient is φ = 3515904.

The previous prime is 13185349. The next prime is 13185377. The reversal of 13185360 is 6358131.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 9217296 = 1992^2 + 3036^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8437 + ... + 9876.

Almost surely, 2^13185360 is an apocalyptic number.

13185360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13185360 is an abundant number, since it is smaller than the sum of its proper divisors (31097892).

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

13185360 is a wasteful number, since it uses less digits than its factorization.

13185360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18332 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13185360 is about 3631.1651022778. The cubic root of 13185360 is about 236.2457461231.

It can be divided in two parts, 131 and 85360, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 13185360 in words is "thirteen million, one hundred eighty-five thousand, three hundred sixty".