43625680 has 120 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 14434560.

The previous prime is 43625669. The next prime is 43625683. The reversal of 43625680 is 8652634.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43625683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121341 + ... + 121699.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^43625680 is an apocalyptic number.

43625680 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 43625680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

43625680 is an abundant number, since it is smaller than the sum of its proper divisors (78509360).

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

43625680 is a wasteful number, since it uses less digits than its factorization.

43625680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 43625680 is about 6604.9738833700. The cubic root of 43625680 is about 352.0308598977.

The spelling of 43625680 in words is "forty-three million, six hundred twenty-five thousand, six hundred eighty".