13505360 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 4830720.

The previous prime is 13505357. The next prime is 13505363. The reversal of 13505360 is 6350531.

It is an interprime number because it is at equal distance from previous prime (13505357) and next prime (13505363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505363) 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, 90566 + ... + 90714.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^13505360 is an apocalyptic number.

13505360 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 13505360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

13505360 is an abundant number, since it is smaller than the sum of its proper divisors (21313840).

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

13505360 is a wasteful number, since it uses less digits than its factorization.

13505360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 13505360 is about 3674.9639454014. The cubic root of 13505360 is about 238.1416664761.

Adding to 13505360 its reverse (6350531), we get a palindrome (19855891).

The spelling of 13505360 in words is "thirteen million, five hundred five thousand, three hundred sixty".