13545360 has 80 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 3611520.

The previous prime is 13545359. The next prime is 13545373. The reversal of 13545360 is 6354531.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 5295.

It is an arithmetic number, because the mean of its divisors is an integer number (583296).

Almost surely, 2^13545360 is an apocalyptic number.

13545360 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 13545360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

13545360 is an abundant number, since it is smaller than the sum of its proper divisors (33118320).

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

13545360 is a wasteful number, since it uses less digits than its factorization.

13545360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13545360 is about 3680.4021519394. The cubic root of 13545360 is about 238.3765430429.

Adding to 13545360 its reverse (6354531), we get a palindrome (19899891).

The spelling of 13545360 in words is "thirteen million, five hundred forty-five thousand, three hundred sixty".