39960 has 64 divisors (see below), whose sum is σ = 136800. Its totient is φ = 10368.

The previous prime is 39953. The next prime is 39971. The reversal of 39960 is 6993.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 1098.

2³⁹⁹⁶⁰ is an apocalyptic number.

39960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400).

39960 is an abundant number, since it is smaller than the sum of its proper divisors (96840).

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

39960 is a wasteful number, since it uses less digits than its factorization.

39960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 39960 is about 199.8999749875. The cubic root of 39960 is about 34.1881152918.

It can be divided in two parts, 39 and 960, that added together give a palindrome (999).

The spelling of 39960 in words is "thirty-nine thousand, nine hundred sixty".