44916768 has 240 divisors, whose sum is σ = 150264576. Its totient is φ = 13063680.

The previous prime is 44916761. The next prime is 44916791. The reversal of 44916768 is 86761944.

It is not an unprimeable number, because it can be changed into a prime (44916761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1044555 + ... + 1044597.

Almost surely, 2^44916768 is an apocalyptic number.

44916768 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 44916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75132288).

44916768 is an abundant number, since it is smaller than the sum of its proper divisors (105347808).

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

44916768 is a wasteful number, since it uses less digits than its factorization.

44916768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 44916768 is about 6701.9973142340. The cubic root of 44916768 is about 355.4699007791.

The spelling of 44916768 in words is "forty-four million, nine hundred sixteen thousand, seven hundred sixty-eight".