13258160 has 40 divisors (see below), whose sum is σ = 31143840. Its totient is φ = 5248512.

The previous prime is 13258153. The next prime is 13258163. The reversal of 13258160 is 6185231.

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

It is not an unprimeable number, because it can be changed into a prime (13258163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7436 + ... + 9044.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 2^13258160 is an apocalyptic number.

13258160 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 13258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571920).

13258160 is an abundant number, since it is smaller than the sum of its proper divisors (17885680).

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

13258160 is a wasteful number, since it uses less digits than its factorization.

13258160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 13258160 is about 3641.1756343247. The cubic root of 13258160 is about 236.6797409515.

The spelling of 13258160 in words is "thirteen million, two hundred fifty-eight thousand, one hundred sixty".