39760 has 40 divisors (see below), whose sum is σ = 107136. Its totient is φ = 13440.

The previous prime is 39749. The next prime is 39761. The reversal of 39760 is 6793.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 15.

It is a zygodrome 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.

39760 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 in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 595.

2³⁹⁷⁶⁰ 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 39760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

39760 is an abundant number, since it is smaller than the sum of its proper divisors (67376).

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

39760 is a wasteful number, since it uses less digits than its factorization.

39760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 39760 is about 199.3990972898. The cubic root of 39760 is about 34.1309826398.

The spelling of 39760 in words is "thirty-nine thousand, seven hundred sixty".