13354560 has 84 divisors (see below), whose sum is σ = 45944028. Its totient is φ = 3560448.

The previous prime is 13354531. The next prime is 13354567. The reversal of 13354560 is 6545331.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 9290304 = 2016^2 + 3048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13354567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562 + ... + 5198.

Almost surely, 2^13354560 is an apocalyptic number.

13354560 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 13354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22972014).

13354560 is an abundant number, since it is smaller than the sum of its proper divisors (32589468).

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

13354560 is a wasteful number, since it uses less digits than its factorization.

13354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4660 (or 4647 counting only the distinct ones).

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

The square root of 13354560 is about 3654.3891418403. The cubic root of 13354560 is about 237.2519885628.

Adding to 13354560 its reverse (6545331), we get a palindrome (19899891).

The spelling of 13354560 in words is "thirteen million, three hundred fifty-four thousand, five hundred sixty".