43882560 has 140 divisors (see below), whose sum is σ = 156190188. Its totient is φ = 11695104.

The previous prime is 43882549. The next prime is 43882567. The reversal of 43882560 is 6528834.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 27625536 = 4032^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (43882567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25074 + ... + 26766.

Almost surely, 2^43882560 is an apocalyptic number.

43882560 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 43882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78095094).

43882560 is an abundant number, since it is smaller than the sum of its proper divisors (112307628).

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

43882560 is a wasteful number, since it uses less digits than its factorization.

43882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 43882560 is about 6624.3912927906. The cubic root of 43882560 is about 352.7204596474.

The spelling of 43882560 in words is "forty-three million, eight hundred eighty-two thousand, five hundred sixty".