5616 has 40 divisors (see below), whose sum is σ = 17360. Its totient is φ = 1728.

The previous prime is 5591. The next prime is 5623. The reversal of 5616 is 6165.

Added to its reverse (6165) it gives a triangular number (11781 = T_{153}).

5616 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

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

Its product of digits (180) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 6, base 9 and base 12.

It is a zygodrome in base 4 and base 12.

It is a congruent number.

It is an unprimeable number.

5616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680).

5616 is an abundant number, since it is smaller than the sum of its proper divisors (11744).

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

5616 is a wasteful number, since it uses less digits than its factorization.

5616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 18 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 5616 is about 74.9399759808. The cubic root of 5616 is about 17.7749764104.

Adding to 5616 its reverse (6165), we get a triangular number (11781 = T_{153}).

The spelling of 5616 in words is "five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616

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