13529664 has 84 divisors (see below), whose sum is σ = 39386256. Its totient is φ = 4439808.

The previous prime is 13529651. The next prime is 13529687. The reversal of 13529664 is 46692531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47667 + ... + 47949.

It is an arithmetic number, because the mean of its divisors is an integer number (468884).

Almost surely, 2^13529664 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 13529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693128).

13529664 is an abundant number, since it is smaller than the sum of its proper divisors (25856592).

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

13529664 is a wasteful number, since it uses less digits than its factorization.

13529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13529664 is about 3678.2691581775. The cubic root of 13529664 is about 238.2844326731.

The spelling of 13529664 in words is "thirteen million, five hundred twenty-nine thousand, six hundred sixty-four".