39360 has 56 divisors (see below), whose sum is σ = 128016. Its totient is φ = 10240.

The previous prime is 39359. The next prime is 39367. The reversal of 39360 is 6393.

Added to its reverse (6393) it gives a triangular number (45753 = T₃₀₂).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39360.

It is not an unprimeable number, because it can be changed into a prime (39367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 940 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (2286).

2³⁹³⁶⁰ is an apocalyptic number.

39360 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 39360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

39360 is an abundant number, since it is smaller than the sum of its proper divisors (88656).

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

39360 is a wasteful number, since it uses less digits than its factorization.

39360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 39360 is about 198.3935482822. The cubic root of 39360 is about 34.0161399726.

Adding to 39360 its reverse (6393), we get a triangular number (45753 = T₃₀₂).

The spelling of 39360 in words is "thirty-nine thousand, three hundred sixty".