43968960 has 224 divisors, whose sum is σ = 177515520. Its totient is φ = 10036224.

The previous prime is 43968931. The next prime is 43968961. The reversal of 43968960 is 6986934.

43968960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43968961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60117 + ... + 60843.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^43968960 is an apocalyptic number.

43968960 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 43968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

43968960 is an abundant number, since it is smaller than the sum of its proper divisors (133546560).

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

43968960 is a wasteful number, since it uses less digits than its factorization.

43968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 43968960 is about 6630.9094398883. The cubic root of 43968960 is about 352.9517973274.

The spelling of 43968960 in words is "forty-three million, nine hundred sixty-eight thousand, nine hundred sixty".