13580320 has 48 divisors (see below), whose sum is σ = 34556760. Its totient is φ = 5013504.

The previous prime is 13580317. The next prime is 13580339. The reversal of 13580320 is 2308531.

It can be written as a sum of positive squares in 4 ways, for example, as 5216656 + 8363664 = 2284^2 + 2892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13580291 and 13580300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1185 + ... + 5344.

Almost surely, 2^13580320 is an apocalyptic number.

13580320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13580320 is an abundant number, since it is smaller than the sum of its proper divisors (20976440).

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

13580320 is a wasteful number, since it uses less digits than its factorization.

13580320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13580320 is about 3685.1485723102. The cubic root of 13580320 is about 238.5814467790.

Adding to 13580320 its reverse (2308531), we get a palindrome (15888851).

The spelling of 13580320 in words is "thirteen million, five hundred eighty thousand, three hundred twenty".