13532864 has 56 divisors (see below), whose sum is σ = 29260800. Its totient is φ = 6186240.

The previous prime is 13532839. The next prime is 13532881. The reversal of 13532864 is 46823531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13532864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37517 + ... + 37875.

Almost surely, 2^13532864 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 13532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

13532864 is an abundant number, since it is smaller than the sum of its proper divisors (15727936).

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

13532864 is a wasteful number, since it uses less digits than its factorization.

13532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 13532864 is about 3678.7041196595. The cubic root of 13532864 is about 238.3032173247.

The spelling of 13532864 in words is "thirteen million, five hundred thirty-two thousand, eight hundred sixty-four".