13868568 has 72 divisors (see below), whose sum is σ = 43704180. Its totient is φ = 3961440.

The previous prime is 13868567. The next prime is 13868573. The reversal of 13868568 is 86586831.

13868568 is a `hidden beast` number, since 1 + 3 + 86 + 8 + 568 = 666.

13868568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13868567) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1563 + ... + 5493.

Almost surely, 2^13868568 is an apocalyptic number.

13868568 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 13868568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852090).

13868568 is an abundant number, since it is smaller than the sum of its proper divisors (29835612).

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

13868568 is a wasteful number, since it uses less digits than its factorization.

13868568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957 (or 3943 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 13868568 is about 3724.0526312070. The cubic root of 13868568 is about 240.2576399912.

The spelling of 13868568 in words is "thirteen million, eight hundred sixty-eight thousand, five hundred sixty-eight".