13616 has 20 divisors (see below), whose sum is σ = 28272. Its totient is φ = 6336.

The previous prime is 13613. The next prime is 13619. The reversal of 13616 is 61631.

13616 = T₃₃ + T₃₄ + ... + T₄₈.

13616 = 8³ + 9³ + ... + 15³.

It is an interprime number because it is at equal distance from previous prime (13613) and next prime (13619).

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 junction number, because it is equal to n+sod(n) for n = 13594 and 13603.

It is not an unprimeable number, because it can be changed into a prime (13613) 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, 350 + ... + 386.

2¹³⁶¹⁶ is an apocalyptic number.

13616 is a gapful number since it is divisible by the number (16) 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 13616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136).

13616 is an abundant number, since it is smaller than the sum of its proper divisors (14656).

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

13616 is a wasteful number, since it uses less digits than its factorization.

13616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 13616 is about 116.6876171665. The cubic root of 13616 is about 23.8790208226.

It can be divided in two parts, 13 and 616, that multiplied together give a palindrome (8008).

The spelling of 13616 in words is "thirteen thousand, six hundred sixteen".