13829568 has 112 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 4091904.

The previous prime is 13829567. The next prime is 13829579. The reversal of 13829568 is 86592831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61905 + ... + 62127.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^13829568 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 13829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

13829568 is an abundant number, since it is smaller than the sum of its proper divisors (27135552).

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

13829568 is a wasteful number, since it uses less digits than its factorization.

13829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 13829568 is about 3718.8127137569. The cubic root of 13829568 is about 240.0322178971.

The spelling of 13829568 in words is "thirteen million, eight hundred twenty-nine thousand, five hundred sixty-eight".