8140 has 24 divisors (see below), whose sum is σ = 19152. Its totient is φ = 2880.

The previous prime is 8123. The next prime is 8147. The reversal of 8140 is 418.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8147) 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, 202 + ... + 238.

It is an arithmetic number, because the mean of its divisors is an integer number (798).

2⁸¹⁴⁰ 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 8140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576).

8140 is an abundant number, since it is smaller than the sum of its proper divisors (11012).

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

8140 is a wasteful number, since it uses less digits than its factorization.

8140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8140 is about 90.2219485491. The cubic root of 8140 is about 20.1159926514.

Adding to 8140 its reverse (418), we get a palindrome (8558).

It can be divided in two parts, 81 and 40, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 8140 in words is "eight thousand, one hundred forty".