44616 has 48 divisors (see below), whose sum is σ = 131760. Its totient is φ = 12480.

The previous prime is 44587. The next prime is 44617. The reversal of 44616 is 61644.

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 44592 and 44601.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44616.

It is not an unprimeable number, because it can be changed into a prime (44617) by changing a digit.

44616 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 11 ways as a sum of consecutive naturals, for example, 3426 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

2⁴⁴⁶¹⁶ 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 44616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65880).

44616 is an abundant number, since it is smaller than the sum of its proper divisors (87144).

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

44616 is a wasteful number, since it uses less digits than its factorization.

44616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 44616 is about 211.2249985205. The cubic root of 44616 is about 35.4674700354.

The spelling of 44616 in words is "forty-four thousand, six hundred sixteen".