44160 has 64 divisors (see below), whose sum is σ = 146880. Its totient is φ = 11264.

The previous prime is 44159. The next prime is 44171. The reversal of 44160 is 6144.

44160 = 66² + 67² + ... + 74².

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1909 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

2⁴⁴¹⁶⁰ is an apocalyptic number.

44160 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 44160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

44160 is an abundant number, since it is smaller than the sum of its proper divisors (102720).

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

44160 is a wasteful number, since it uses less digits than its factorization.

44160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 44160 is about 210.1428085850. The cubic root of 44160 is about 35.3462236896.

The spelling of 44160 in words is "forty-four thousand, one hundred sixty".