43933968 has 80 divisors (see below), whose sum is σ = 135824640. Its totient is φ = 13516416.

The previous prime is 43933957. The next prime is 43933987. The reversal of 43933968 is 86933934.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 9527.

It is an arithmetic number, because the mean of its divisors is an integer number (1697808).

Almost surely, 2^43933968 is an apocalyptic number.

43933968 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 43933968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912320).

43933968 is an abundant number, since it is smaller than the sum of its proper divisors (91890672).

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

43933968 is a wasteful number, since it uses less digits than its factorization.

43933968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7841 counting only the distinct ones).

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

The square root of 43933968 is about 6628.2703626210. The cubic root of 43933968 is about 352.8581421136.

The spelling of 43933968 in words is "forty-three million, nine hundred thirty-three thousand, nine hundred sixty-eight".