39968 has 12 divisors (see below), whose sum is σ = 78750. Its totient is φ = 19968.

The previous prime is 39953. The next prime is 39971. The reversal of 39968 is 86993.

It can be written as a sum of positive squares in only one way, i.e., 35344 + 4624 = 188^2 + 68^2 .

It is an unprimeable number.

39968 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 593 + ... + 656.

2³⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

39968 is a deficient number, since it is larger than the sum of its proper divisors (38782).

39968 is a wasteful number, since it uses less digits than its factorization.

39968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 39968 is about 199.9199839936. The cubic root of 39968 is about 34.1903966288.

It can be divided in two parts, 3996 and 8, that added together give a palindrome (4004).

The spelling of 39968 in words is "thirty-nine thousand, nine hundred sixty-eight".