13385568 has 48 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 3824256.

The previous prime is 13385543. The next prime is 13385573. The reversal of 13385568 is 86558331.

13385568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9288 + ... + 10631.

It is an arithmetic number, because the mean of its divisors is an integer number (836640).

Almost surely, 2^13385568 is an apocalyptic number.

It is an amenable number.

13385568 is an abundant number, since it is smaller than the sum of its proper divisors (26773152).

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

13385568 is a wasteful number, since it uses less digits than its factorization.

13385568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19939 (or 19931 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 13385568 is about 3658.6292515094. The cubic root of 13385568 is about 237.4354720356.

The spelling of 13385568 in words is "thirteen million, three hundred eighty-five thousand, five hundred sixty-eight".