39240 has 48 divisors (see below), whose sum is σ = 128700. Its totient is φ = 10368.

The previous prime is 39239. The next prime is 39241. The reversal of 39240 is 4293.

It is an interprime number because it is at equal distance from previous prime (39239) and next prime (39241).

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 36 = 198^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a nialpdrome in base 15.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (39241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306 + ... + 414.

2³⁹²⁴⁰ is an apocalyptic number.

39240 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 39240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350).

39240 is an abundant number, since it is smaller than the sum of its proper divisors (89460).

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

39240 is a wasteful number, since it uses less digits than its factorization.

39240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 39240 is about 198.0908882306. The cubic root of 39240 is about 33.9815355337.

The spelling of 39240 in words is "thirty-nine thousand, two hundred forty".