13509664 has 48 divisors (see below), whose sum is σ = 31159296. Its totient is φ = 5644800.

The previous prime is 13509653. The next prime is 13509673. The reversal of 13509664 is 46690531.

It is a super-2 number, since 2×13509664² = 365022042785792, which contains 22 as substring.

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, 8449 + ... + 9919.

It is an arithmetic number, because the mean of its divisors is an integer number (649152).

Almost surely, 2^13509664 is an apocalyptic number.

13509664 is a gapful number since it is divisible by the number (14) 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 13509664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579648).

13509664 is an abundant number, since it is smaller than the sum of its proper divisors (17649632).

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

13509664 is a wasteful number, since it uses less digits than its factorization.

13509664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 13509664 is about 3675.5494827304. The cubic root of 13509664 is about 238.1669614422.

The spelling of 13509664 in words is "thirteen million, five hundred nine thousand, six hundred sixty-four".