13827968 has 128 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 5068800.

The previous prime is 13827949. The next prime is 13827971. The reversal of 13827968 is 86972831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226658 + ... + 226718.

It is an arithmetic number, because the mean of its divisors is an integer number (284580).

Almost surely, 2^13827968 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 13827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

13827968 is an abundant number, since it is smaller than the sum of its proper divisors (22598272).

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

13827968 is a wasteful number, since it uses less digits than its factorization.

13827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 13827968 is about 3718.5975851119. The cubic root of 13827968 is about 240.0229607662.

The spelling of 13827968 in words is "thirteen million, eight hundred twenty-seven thousand, nine hundred sixty-eight".