44608 has 28 divisors (see below), whose sum is σ = 96012. Its totient is φ = 20480.

The previous prime is 44587. The next prime is 44617. The reversal of 44608 is 80644.

44608 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 28224 = 128^2 + 168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1068 + ... + 1108.

It is an arithmetic number, because the mean of its divisors is an integer number (3429).

2⁴⁴⁶⁰⁸ 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 44608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48006).

44608 is an abundant number, since it is smaller than the sum of its proper divisors (51404).

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

44608 is a wasteful number, since it uses less digits than its factorization.

44608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 44608 is about 211.2060605191. The cubic root of 44608 is about 35.4653500431.

The spelling of 44608 in words is "forty-four thousand, six hundred eight".