14616 has 48 divisors (see below), whose sum is σ = 46800. Its totient is φ = 4032.

The previous prime is 14593. The next prime is 14621. The reversal of 14616 is 61641.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (144) is a multiple of the sum of its prime factors (48).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

14616 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 11 ways as a sum of consecutive naturals, for example, 490 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (975).

2¹⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400).

14616 is an abundant number, since it is smaller than the sum of its proper divisors (32184).

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

14616 is a wasteful number, since it uses less digits than its factorization.

14616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 41 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 14616 is about 120.8966500777. The cubic root of 14616 is about 24.4498488204.

It can be divided in two parts, 14 and 616, that added together give a triangular number (630 = T₃₅).

The spelling of 14616 in words is "fourteen thousand, six hundred sixteen".