44080 has 40 divisors (see below), whose sum is σ = 111600. Its totient is φ = 16128.

The previous prime is 44071. The next prime is 44087. The reversal of 44080 is 8044.

44080 = T₄₀ + T₄₁ + ... + T₆₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (44087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1506 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2⁴⁴⁰⁸⁰ is an apocalyptic number.

44080 is a gapful number since it is divisible by the number (40) 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 44080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

44080 is an abundant number, since it is smaller than the sum of its proper divisors (67520).

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

44080 is a wasteful number, since it uses less digits than its factorization.

44080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 44080 is about 209.9523755522. The cubic root of 44080 is about 35.3248664496.

The spelling of 44080 in words is "forty-four thousand, eighty".