44130768 has 160 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 12280320.

The previous prime is 44130733. The next prime is 44130773. The reversal of 44130768 is 86703144.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531655 + ... + 531737.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^44130768 is an apocalyptic number.

44130768 is a gapful number since it is divisible by the number (48) 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 44130768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

44130768 is an abundant number, since it is smaller than the sum of its proper divisors (90860592).

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

44130768 is a wasteful number, since it uses less digits than its factorization.

44130768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 44130768 is about 6643.0992766931. The cubic root of 44130768 is about 353.3842274697.

The spelling of 44130768 in words is "forty-four million, one hundred thirty thousand, seven hundred sixty-eight".