44676 has 36 divisors (see below), whose sum is σ = 121212. Its totient is φ = 13824.

The previous prime is 44657. The next prime is 44683. The reversal of 44676 is 67644.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 14400 = 174^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44676.

It is an unprimeable number.

44676 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, 576 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (3367).

44676 is a Friedman number, since it can be written as 7446*6, using all its digits and the basic arithmetic operations.

2⁴⁴⁶⁷⁶ 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 44676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60606).

44676 is an abundant number, since it is smaller than the sum of its proper divisors (76536).

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

44676 is a wasteful number, since it uses less digits than its factorization.

44676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 44676 is about 211.3669794457. The cubic root of 44676 is about 35.4833619051.

The spelling of 44676 in words is "forty-four thousand, six hundred seventy-six".