8340 has 24 divisors (see below), whose sum is σ = 23520. Its totient is φ = 2208.

The previous prime is 8329. The next prime is 8353. The reversal of 8340 is 438.

Added to its reverse (438) it gives a triangular number (8778 = T₁₃₂).

8340 = T₂₁ + T₂₂ + ... + T₃₈.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 8340.

It is an unprimeable number.

8340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (980).

2⁸³⁴⁰ 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 8340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760).

8340 is an abundant number, since it is smaller than the sum of its proper divisors (15180).

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

8340 is a wasteful number, since it uses less digits than its factorization.

8340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 8340 is about 91.3236004546. The cubic root of 8340 is about 20.2794116126.

Adding to 8340 its reverse (438), we get a palindrome (8778).

The spelling of 8340 in words is "eight thousand, three hundred forty".