13300560 has 360 divisors, whose sum is σ = 57886920. Its totient is φ = 2709504.

The previous prime is 13300559. The next prime is 13300571. The reversal of 13300560 is 6500331.

13300560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 13046544 = 504^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458626 + ... + 458654.

It is an arithmetic number, because the mean of its divisors is an integer number (160797).

Almost surely, 2^13300560 is an apocalyptic number.

13300560 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 13300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943460).

13300560 is an abundant number, since it is smaller than the sum of its proper divisors (44586360).

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

13300560 is a wasteful number, since it uses less digits than its factorization.

13300560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13300560 is about 3646.9932821435. The cubic root of 13300560 is about 236.9317754806.

Adding to 13300560 its reverse (6500331), we get a palindrome (19800891).

The spelling of 13300560 in words is "thirteen million, three hundred thousand, five hundred sixty".