13318560 has 96 divisors (see below), whose sum is σ = 46630080. Its totient is φ = 3550464.

The previous prime is 13318553. The next prime is 13318573. The reversal of 13318560 is 6581331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (485730).

Almost surely, 2^13318560 is an apocalyptic number.

13318560 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 13318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23315040).

13318560 is an abundant number, since it is smaller than the sum of its proper divisors (33311520).

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

13318560 is a wasteful number, since it uses less digits than its factorization.

13318560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13318560 is about 3649.4602340620. The cubic root of 13318560 is about 237.0386093163.

Adding to 13318560 its reverse (6581331), we get a palindrome (19899891).

The spelling of 13318560 in words is "thirteen million, three hundred eighteen thousand, five hundred sixty".