15968 has 12 divisors (see below), whose sum is σ = 31500. Its totient is φ = 7968.

The previous prime is 15959. The next prime is 15971. The reversal of 15968 is 86951.

15968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 15968.

It is a congruent number.

It is an unprimeable number.

15968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 218 + ... + 281.

It is an arithmetic number, because the mean of its divisors is an integer number (2625).

2¹⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

15968 is a deficient number, since it is larger than the sum of its proper divisors (15532).

15968 is an equidigital number, since it uses as much as digits as its factorization.

15968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 15968 is about 126.3645519915. The cubic root of 15968 is about 25.1816108388.

The spelling of 15968 in words is "fifteen thousand, nine hundred sixty-eight".