13540016 has 40 divisors (see below), whose sum is σ = 30560544. Its totient is φ = 5690880.

The previous prime is 13540001. The next prime is 13540073. The reversal of 13540016 is 61004531.

13540016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13540016.

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, 4796 + ... + 7076.

Almost surely, 2^13540016 is an apocalyptic number.

13540016 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 13540016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280272).

13540016 is an abundant number, since it is smaller than the sum of its proper divisors (17020528).

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

13540016 is a wasteful number, since it uses less digits than its factorization.

13540016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13540016 is about 3679.6760726999. The cubic root of 13540016 is about 238.3451903187.

Adding to 13540016 its reverse (61004531), we get a palindrome (74544547).

The spelling of 13540016 in words is "thirteen million, five hundred forty thousand, sixteen".