13968 has 30 divisors (see below), whose sum is σ = 39494. Its totient is φ = 4608.

The previous prime is 13967. The next prime is 13997. The reversal of 13968 is 86931.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 2304 = 108^2 + 48^2 .

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 8 and base 12.

It is not an unprimeable number, because it can be changed into a prime (13963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96 + ... + 192.

2¹³⁹⁶⁸ is an apocalyptic number.

13968 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 13968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747).

13968 is an abundant number, since it is smaller than the sum of its proper divisors (25526).

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

13968 is a wasteful number, since it uses less digits than its factorization.

13968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13968 is about 118.1862936216. The cubic root of 13968 is about 24.0830456444.

It can be divided in two parts, 1 and 3968, that added together give a square (3969 = 63²).

The spelling of 13968 in words is "thirteen thousand, nine hundred sixty-eight".