43339968 has 112 divisors (see below), whose sum is σ = 145653760. Its totient is φ = 12379392.

The previous prime is 43339963. The next prime is 43339979. The reversal of 43339968 is 86993334.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (43339963) 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, 10305 + ... + 13887.

It is an arithmetic number, because the mean of its divisors is an integer number (1300480).

Almost surely, 2^43339968 is an apocalyptic number.

43339968 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 43339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72826880).

43339968 is an abundant number, since it is smaller than the sum of its proper divisors (102313792).

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

43339968 is a wasteful number, since it uses less digits than its factorization.

43339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3595 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 43339968 is about 6583.3098058651. The cubic root of 43339968 is about 351.2606727506.

It can be divided in two parts, 433 and 39968, that added together give a square (40401 = 201²).

The spelling of 43339968 in words is "forty-three million, three hundred thirty-nine thousand, nine hundred sixty-eight".