13319568 has 60 divisors (see below), whose sum is σ = 39476268. Its totient is φ = 4177920.

The previous prime is 13319561. The next prime is 13319573. The reversal of 13319568 is 86591331.

It is a happy number.

13319568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 3283344 = 3168^2 + 1812^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13319561) 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, 273 + ... + 5168.

Almost surely, 2^13319568 is an apocalyptic number.

13319568 is a gapful number since it is divisible by the number (18) 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 13319568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738134).

13319568 is an abundant number, since it is smaller than the sum of its proper divisors (26156700).

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

13319568 is a wasteful number, since it uses less digits than its factorization.

13319568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5463 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13319568 is about 3649.5983340636. The cubic root of 13319568 is about 237.0445891643.

It can be divided in two parts, 133 and 19568, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 13319568 in words is "thirteen million, three hundred nineteen thousand, five hundred sixty-eight".