13823568 has 80 divisors (see below), whose sum is σ = 43300800. Its totient is φ = 4187520.

The previous prime is 13823549. The next prime is 13823581. The reversal of 13823568 is 86532831.

13823568 is a `hidden beast` number, since 13 + 82 + 3 + 568 = 666.

13823568 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3298 + ... + 6206.

It is an arithmetic number, because the mean of its divisors is an integer number (541260).

Almost surely, 2^13823568 is an apocalyptic number.

13823568 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 13823568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650400).

13823568 is an abundant number, since it is smaller than the sum of its proper divisors (29477232).

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

13823568 is a wasteful number, since it uses less digits than its factorization.

13823568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2925 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13823568 is about 3718.0059171551. The cubic root of 13823568 is about 239.9974999740.

It can be divided in two parts, 1382 and 3568, that added together give a triangular number (4950 = T₉₉).

The spelling of 13823568 in words is "thirteen million, eight hundred twenty-three thousand, five hundred sixty-eight".