8240 has 20 divisors (see below), whose sum is σ = 19344. Its totient is φ = 3264.

The previous prime is 8237. The next prime is 8243. The reversal of 8240 is 428.

It is an interprime number because it is at equal distance from previous prime (8237) and next prime (8243).

It is a tau number, because it is divible by the number of its divisors (20).

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 131.

2⁸²⁴⁰ is an apocalyptic number.

8240 is a gapful number since it is divisible by the number (80) 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 8240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672).

8240 is an abundant number, since it is smaller than the sum of its proper divisors (11104).

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

8240 is a wasteful number, since it uses less digits than its factorization.

8240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 8240 is about 90.7744457433. The cubic root of 8240 is about 20.1980326810.

Adding to 8240 its reverse (428), we get a palindrome (8668).

The spelling of 8240 in words is "eight thousand, two hundred forty".