39680 has 36 divisors (see below), whose sum is σ = 98112. Its totient is φ = 15360.

The previous prime is 39679. The next prime is 39703. The reversal of 39680 is 8693.

It is a happy number.

39680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

39680 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 1265 + ... + 1295.

2³⁹⁶⁸⁰ 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 39680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056).

39680 is an abundant number, since it is smaller than the sum of its proper divisors (58432).

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

39680 is an equidigital number, since it uses as much as digits as its factorization.

39680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 39680 is about 199.1983935678. The cubic root of 39680 is about 34.1080759331.

The spelling of 39680 in words is "thirty-nine thousand, six hundred eighty".