13813568 has 28 divisors (see below), whose sum is σ = 27695652. Its totient is φ = 6835200.

The previous prime is 13813567. The next prime is 13813577. The reversal of 13813568 is 86531831.

It can be written as a sum of positive squares in 2 ways, for example, as 7011904 + 6801664 = 2648^2 + 2608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5396 + ... + 7532.

Almost surely, 2^13813568 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 13813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847826).

13813568 is an abundant number, since it is smaller than the sum of its proper divisors (13882084).

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

13813568 is a wasteful number, since it uses less digits than its factorization.

13813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2240 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 13813568 is about 3716.6608669611. The cubic root of 13813568 is about 239.9396144375.

The spelling of 13813568 in words is "thirteen million, eight hundred thirteen thousand, five hundred sixty-eight".