43681680 has 280 divisors, whose sum is σ = 175649472. Its totient is φ = 9891072.

The previous prime is 43681661. The next prime is 43681691. The reversal of 43681680 is 8618634.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408187 + ... + 408293.

Almost surely, 2^43681680 is an apocalyptic number.

43681680 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 43681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87824736).

43681680 is an abundant number, since it is smaller than the sum of its proper divisors (131967792).

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

43681680 is a wasteful number, since it uses less digits than its factorization.

43681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 43681680 is about 6609.2117533031. The cubic root of 43681680 is about 352.1814233503.

The spelling of 43681680 in words is "forty-three million, six hundred eighty-one thousand, six hundred eighty".