44166120 has 64 divisors (see below), whose sum is σ = 133254720. Its totient is φ = 11710464.

The previous prime is 44166107. The next prime is 44166121. The reversal of 44166120 is 2166144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44166121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22207 + ... + 24113.

It is an arithmetic number, because the mean of its divisors is an integer number (2082105).

Almost surely, 2^44166120 is an apocalyptic number.

44166120 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 44166120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66627360).

44166120 is an abundant number, since it is smaller than the sum of its proper divisors (89088600).

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

44166120 is a wasteful number, since it uses less digits than its factorization.

44166120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 44166120 is about 6645.7595502696. The cubic root of 44166120 is about 353.4785645605.

Adding to 44166120 its sum of digits (24), we get a palindrome (44166144).

The spelling of 44166120 in words is "forty-four million, one hundred sixty-six thousand, one hundred twenty".