43536640 has 144 divisors (see below), whose sum is σ = 123032448. Its totient is φ = 14450688.

The previous prime is 43536637. The next prime is 43536641. The reversal of 43536640 is 4663534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43536641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385224 + ... + 385336.

It is an arithmetic number, because the mean of its divisors is an integer number (854392).

Almost surely, 2^43536640 is an apocalyptic number.

43536640 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 43536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61516224).

43536640 is an abundant number, since it is smaller than the sum of its proper divisors (79495808).

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

43536640 is a wasteful number, since it uses less digits than its factorization.

43536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 43536640 is about 6598.2300657070. The cubic root of 43536640 is about 351.7911984804.

The spelling of 43536640 in words is "forty-three million, five hundred thirty-six thousand, six hundred forty".