13219968 has 64 divisors (see below), whose sum is σ = 35496000. Its totient is φ = 4359168.

The previous prime is 13219961. The next prime is 13219979. The reversal of 13219968 is 86991231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13219961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66333 + ... + 66531.

It is an arithmetic number, because the mean of its divisors is an integer number (554625).

Almost surely, 2^13219968 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 13219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748000).

13219968 is an abundant number, since it is smaller than the sum of its proper divisors (22276032).

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

13219968 is a wasteful number, since it uses less digits than its factorization.

13219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 13219968 is about 3635.9273920143. The cubic root of 13219968 is about 236.4522592543.

It can be divided in two parts, 132 and 19968, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 13219968 in words is "thirteen million, two hundred nineteen thousand, nine hundred sixty-eight".