5540 has 12 divisors (see below), whose sum is σ = 11676. Its totient is φ = 2208.

The previous prime is 5531. The next prime is 5557. The reversal of 5540 is 455.

Added to its reverse (455) it gives a triangular number (5995 = T₁₀₉).

It can be written as a sum of positive squares in 2 ways, for example, as 1444 + 4096 = 38^2 + 64^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (973).

2⁵⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

5540 is an abundant number, since it is smaller than the sum of its proper divisors (6136).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838).

5540 is a wasteful number, since it uses less digits than its factorization.

5540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 5540 is about 74.4311762637. The cubic root of 5540 is about 17.6944304564.

Adding to 5540 its reverse (455), we get a palindrome (5995).

It can be divided in two parts, 5 and 540, that added together give a palindrome (545).

The spelling of 5540 in words is "five thousand, five hundred forty".