43968 has 28 divisors (see below), whose sum is σ = 116840. Its totient is φ = 14592.

The previous prime is 43963. The next prime is 43969. The reversal of 43968 is 86934.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43961) by changing a digit.

43968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 306.

2⁴³⁹⁶⁸ is an apocalyptic number.

43968 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 43968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58420).

43968 is an abundant number, since it is smaller than the sum of its proper divisors (72872).

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

43968 is a wasteful number, since it uses less digits than its factorization.

43968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 43968 is about 209.6854787533. The cubic root of 43968 is about 35.2949228574.

The spelling of 43968 in words is "forty-three thousand, nine hundred sixty-eight".