13385360 has 20 divisors (see below), whose sum is σ = 31121148. Its totient is φ = 5354112.

The previous prime is 13385357. The next prime is 13385363. The reversal of 13385360 is 6358331.

It is an interprime number because it is at equal distance from previous prime (13385357) and next prime (13385363).

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 2835856 = 3248^2 + 1684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13385363) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 83579 + ... + 83738.

Almost surely, 2^13385360 is an apocalyptic number.

13385360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13385360 is an abundant number, since it is smaller than the sum of its proper divisors (17735788).

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

13385360 is a wasteful number, since it uses less digits than its factorization.

13385360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167330 (or 167324 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 13385360 is about 3658.6008254523. The cubic root of 13385360 is about 237.4342421828.

The spelling of 13385360 in words is "thirteen million, three hundred eighty-five thousand, three hundred sixty".