13509832 has 64 divisors (see below), whose sum is σ = 32037120. Its totient is φ = 5203968.

The previous prime is 13509829. The next prime is 13509833. The reversal of 13509832 is 23890531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13509794 and 13509803.

It is not an unprimeable number, because it can be changed into a prime (13509833) 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, 21588 + ... + 22204.

It is an arithmetic number, because the mean of its divisors is an integer number (500580).

Almost surely, 2^13509832 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 13509832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018560).

13509832 is an abundant number, since it is smaller than the sum of its proper divisors (18527288).

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

13509832 is a wasteful number, since it uses less digits than its factorization.

13509832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 13509832 is about 3675.5723363852. The cubic root of 13509832 is about 238.1679486832.

It can be divided in two parts, 13509 and 832, that added together give a palindrome (14341).

The spelling of 13509832 in words is "thirteen million, five hundred nine thousand, eight hundred thirty-two".