13216896 has 192 divisors, whose sum is σ = 47736000. Its totient is φ = 3409920.

The previous prime is 13216873. The next prime is 13216901. The reversal of 13216896 is 69861231.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13216896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88630 + ... + 88778.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^13216896 is an apocalyptic number.

13216896 is a gapful number since it is divisible by the number (16) 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 13216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23868000).

13216896 is an abundant number, since it is smaller than the sum of its proper divisors (34519104).

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

13216896 is a wasteful number, since it uses less digits than its factorization.

13216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13216896 is about 3635.5049167894. The cubic root of 13216896 is about 236.4339425783.

The spelling of 13216896 in words is "thirteen million, two hundred sixteen thousand, eight hundred ninety-six".