43538560 has 64 divisors (see below), whose sum is σ = 112112280. Its totient is φ = 16072704.

The previous prime is 43538531. The next prime is 43538569. The reversal of 43538560 is 6583534.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 5494336 = 6168^2 + 2344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (43538569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5704 + ... + 10936.

Almost surely, 2^43538560 is an apocalyptic number.

43538560 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 43538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56056140).

43538560 is an abundant number, since it is smaller than the sum of its proper divisors (68573720).

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

43538560 is a wasteful number, since it uses less digits than its factorization.

43538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 43538560 is about 6598.3755576657. The cubic root of 43538560 is about 351.7963698270.

The spelling of 43538560 in words is "forty-three million, five hundred thirty-eight thousand, five hundred sixty".