13540008 has 64 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 4086720.

The previous prime is 13540001. The next prime is 13540073. The reversal of 13540008 is 80004531.

13540008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13540001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9843 + ... + 11133.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 2^13540008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

13540008 is an abundant number, since it is smaller than the sum of its proper divisors (23669592).

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

13540008 is a wasteful number, since it uses less digits than its factorization.

13540008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13540008 is about 3679.6749856475. The cubic root of 13540008 is about 238.3451433773.

Adding to 13540008 its reverse (80004531), we get a palindrome (93544539).

The spelling of 13540008 in words is "thirteen million, five hundred forty thousand, eight".