13216032 has 72 divisors (see below), whose sum is σ = 38017980. Its totient is φ = 4354560.

The previous prime is 13216031. The next prime is 13216051. The reversal of 13216032 is 23061231.

It can be written as a sum of positive squares in 2 ways, for example, as 12362256 + 853776 = 3516^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13215996 and 13216014.

It is not an unprimeable number, because it can be changed into a prime (13216031) 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, 31182 + ... + 31602.

Almost surely, 2^13216032 is an apocalyptic number.

13216032 is a gapful number since it is divisible by the number (12) 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 13216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008990).

13216032 is an abundant number, since it is smaller than the sum of its proper divisors (24801948).

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

13216032 is a wasteful number, since it uses less digits than its factorization.

13216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13216032 is about 3635.3860867864. The cubic root of 13216032 is about 236.4287905018.

Adding to 13216032 its reverse (23061231), we get a palindrome (36277263).

The spelling of 13216032 in words is "thirteen million, two hundred sixteen thousand, thirty-two".