43668640 has 48 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 17092864.

The previous prime is 43668617. The next prime is 43668659. The reversal of 43668640 is 4686634.

It is a self number, because there is not a number n which added to its sum of digits gives 43668640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4617 + ... + 10423.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^43668640 is an apocalyptic number.

43668640 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 43668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

43668640 is an abundant number, since it is smaller than the sum of its proper divisors (61711712).

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

43668640 is a wasteful number, since it uses less digits than its factorization.

43668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 43668640 is about 6608.2251777614. The cubic root of 43668640 is about 352.1463750736.

The spelling of 43668640 in words is "forty-three million, six hundred sixty-eight thousand, six hundred forty".