8540 has 24 divisors (see below), whose sum is σ = 20832. Its totient is φ = 2880.

The previous prime is 8539. The next prime is 8543. The reversal of 8540 is 458.

8540 is an undulating number in base 11.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8543) 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, 110 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

2⁸⁵⁴⁰ 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 8540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416).

8540 is an abundant number, since it is smaller than the sum of its proper divisors (12292).

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

8540 is a wasteful number, since it uses less digits than its factorization.

8540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8540 is about 92.4121204172. The cubic root of 8540 is about 20.4402384052.

Adding to 8540 its reverse (458), we get a palindrome (8998).

It can be divided in two parts, 85 and 40, that added together give a cube (125 = 5³).

The spelling of 8540 in words is "eight thousand, five hundred forty".