13455360 has 156 divisors (see below), whose sum is σ = 47278452. Its totient is φ = 3538944.

The previous prime is 13455349. The next prime is 13455367. The reversal of 13455360 is 6355431.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 7225344 = 2496^2 + 2688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184284 + ... + 184356.

It is an arithmetic number, because the mean of its divisors is an integer number (303067).

Almost surely, 2^13455360 is an apocalyptic number.

13455360 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 13455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23639226).

13455360 is an abundant number, since it is smaller than the sum of its proper divisors (33823092).

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

13455360 is an equidigital number, since it uses as much as digits as its factorization.

13455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

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

The square root of 13455360 is about 3668.1548495122. The cubic root of 13455360 is about 237.8474176768.

The spelling of 13455360 in words is "thirteen million, four hundred fifty-five thousand, three hundred sixty".