5610 has 32 divisors (see below), whose sum is σ = 15552. Its totient is φ = 1280.

The previous prime is 5591. The next prime is 5623. The reversal of 5610 is 165.

It is an alternating number because its digits alternate between odd and even.

5610 is an undulating number in base 13.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

5610 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 15 ways as a sum of consecutive naturals, for example, 322 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (486).

2⁵⁶¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776).

5610 is an abundant number, since it is smaller than the sum of its proper divisors (9942).

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

5610 is a wasteful number, since it uses less digits than its factorization.

5610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5610 is about 74.8999332443. The cubic root of 5610 is about 17.7686440350.

Adding to 5610 its reverse (165), we get a palindrome (5775).

Subtracting from 5610 its reverse (165), we obtain a palindrome (5445).

It can be divided in two parts, 56 and 10, that added together give a palindrome (66).

The spelling of 5610 in words is "five thousand, six hundred ten".