43680680 has 64 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 16473600.

The previous prime is 43680671. The next prime is 43680727. The reversal of 43680680 is 8608634.

43680680 = T₃₉ + T₄₀ + ... + T₆₃₉.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 43680680.

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 15 ways as a sum of consecutive naturals, for example, 72380 + ... + 72980.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 2^43680680 is an apocalyptic number.

43680680 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 43680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

43680680 is an abundant number, since it is smaller than the sum of its proper divisors (60344920).

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

43680680 is a wasteful number, since it uses less digits than its factorization.

43680680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 43680680 is about 6609.1361008834. The cubic root of 43680680 is about 352.1787358460.

The spelling of 43680680 in words is "forty-three million, six hundred eighty thousand, six hundred eighty".