43882160 has 80 divisors (see below), whose sum is σ = 121706496. Its totient is φ = 14386944.

The previous prime is 43882159. The next prime is 43882169. The reversal of 43882160 is 6128834.

43882160 = 440² + 441² + ... + 600².

43882160 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 (80).

It is not an unprimeable number, because it can be changed into a prime (43882169) 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 15 ways as a sum of consecutive naturals, for example, 11177 + ... + 14583.

Almost surely, 2^43882160 is an apocalyptic number.

43882160 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 43882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853248).

43882160 is an abundant number, since it is smaller than the sum of its proper divisors (77824336).

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

43882160 is a wasteful number, since it uses less digits than its factorization.

43882160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 43882160 is about 6624.3611012686. The cubic root of 43882160 is about 352.7193879338.

The spelling of 43882160 in words is "forty-three million, eight hundred eighty-two thousand, one hundred sixty".