13305160 has 48 divisors (see below), whose sum is σ = 32917500. Its totient is φ = 4836480.

The previous prime is 13305157. The next prime is 13305161. The reversal of 13305160 is 6150331.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 1069156 = 3498^2 + 1034^2 .

It is not an unprimeable number, because it can be changed into a prime (13305161) 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, 3466 + ... + 6214.

Almost surely, 2^13305160 is an apocalyptic number.

13305160 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 13305160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458750).

13305160 is an abundant number, since it is smaller than the sum of its proper divisors (19612340).

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

13305160 is a wasteful number, since it uses less digits than its factorization.

13305160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 13305160 is about 3647.6238841196. The cubic root of 13305160 is about 236.9590866250.

Adding to 13305160 its reverse (6150331), we get a palindrome (19455491).

The spelling of 13305160 in words is "thirteen million, three hundred five thousand, one hundred sixty".