39540 has 24 divisors (see below), whose sum is σ = 110880. Its totient is φ = 10528.

The previous prime is 39521. The next prime is 39541. The reversal of 39540 is 4593.

39540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39541) by changing a digit.

39540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2³⁹⁵⁴⁰ is an apocalyptic number.

39540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39540 is an abundant number, since it is smaller than the sum of its proper divisors (71340).

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 (55440).

39540 is a wasteful number, since it uses less digits than its factorization.

39540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 39540 is about 198.8466746013. The cubic root of 39540 is about 34.0679149992.

It can be divided in two parts, 395 and 40, that added together give a triangular number (435 = T₂₉).

The spelling of 39540 in words is "thirty-nine thousand, five hundred forty".