5840 has 20 divisors (see below), whose sum is σ = 13764. Its totient is φ = 2304.

The previous prime is 5839. The next prime is 5843. The reversal of 5840 is 485.

5840 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 3136 = 52^2 + 56^2 .

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

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 116.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882).

5840 is an abundant number, since it is smaller than the sum of its proper divisors (7924).

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

5840 is a wasteful number, since it uses less digits than its factorization.

5840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

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

The square root of 5840 is about 76.4198926982. The cubic root of 5840 is about 18.0082266922.

The spelling of 5840 in words is "five thousand, eight hundred forty".