39768 has 16 divisors (see below), whose sum is σ = 99480. Its totient is φ = 13248.

The previous prime is 39761. The next prime is 39769. The reversal of 39768 is 86793.

It is a happy number.

39768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805 + ... + 852.

2³⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

39768 is an abundant number, since it is smaller than the sum of its proper divisors (59712).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49740).

39768 is a wasteful number, since it uses less digits than its factorization.

39768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 39768 is about 199.4191565522. The cubic root of 39768 is about 34.1332716199.

It can be divided in two parts, 397 and 68, that added together give a triangular number (465 = T₃₀).

The spelling of 39768 in words is "thirty-nine thousand, seven hundred sixty-eight".