13509408 has 72 divisors (see below), whose sum is σ = 39012624. Its totient is φ = 4090240.

The previous prime is 13509401. The next prime is 13509413. The reversal of 13509408 is 80490531.

It is not an unprimeable number, because it can be changed into a prime (13509401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11035 + ... + 12197.

It is an arithmetic number, because the mean of its divisors is an integer number (541842).

Almost surely, 2^13509408 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 13509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506312).

13509408 is an abundant number, since it is smaller than the sum of its proper divisors (25503216).

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

13509408 is a wasteful number, since it uses less digits than its factorization.

13509408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13509408 is about 3675.5146578404. The cubic root of 13509408 is about 238.1654570592.

Adding to 13509408 its reverse (80490531), we get a palindrome (93999939).

The spelling of 13509408 in words is "thirteen million, five hundred nine thousand, four hundred eight".