13518816 has 48 divisors (see below), whose sum is σ = 36170064. Its totient is φ = 4419584.

The previous prime is 13518811. The next prime is 13518829. The reversal of 13518816 is 61881531.

13518816 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 hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13518811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3760 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (753543).

Almost surely, 2^13518816 is an apocalyptic number.

13518816 is a gapful number since it is divisible by the number (16) 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 13518816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18085032).

13518816 is an abundant number, since it is smaller than the sum of its proper divisors (22651248).

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

13518816 is a wasteful number, since it uses less digits than its factorization.

13518816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2715 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 13518816 is about 3676.7942558702. The cubic root of 13518816 is about 238.2207306553.

The spelling of 13518816 in words is "thirteen million, five hundred eighteen thousand, eight hundred sixteen".