8040 has 32 divisors (see below), whose sum is σ = 24480. Its totient is φ = 2112.

The previous prime is 8039. The next prime is 8053. The reversal of 8040 is 408.

8040 = T₃₅ + T₃₆ + ... + T₄₄.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (765).

2⁸⁰⁴⁰ 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 8040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240).

8040 is an abundant number, since it is smaller than the sum of its proper divisors (16440).

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

8040 is a wasteful number, since it uses less digits than its factorization.

8040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8040 is about 89.6660470858. Note that the first 3 decimals coincide. The cubic root of 8040 is about 20.0332779316.

Subtracting from 8040 its product of nonzero digits (32), we obtain a palindrome (8008).

Adding to 8040 its reverse (408), we get a palindrome (8448).

It can be divided in two parts, 80 and 40, that added together give a triangular number (120 = T₁₅).

The spelling of 8040 in words is "eight thousand, forty".