43668000 has 144 divisors (see below), whose sum is σ = 155105496. Its totient is φ = 11635200.

The previous prime is 43667977. The next prime is 43668011. The reversal of 43668000 is 86634.

43668000 = 108³ + 109³ + ... + 132³.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 40297104 = 1836^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35394 + ... + 36606.

Almost surely, 2^43668000 is an apocalyptic number.

43668000 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 43668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77552748).

43668000 is an abundant number, since it is smaller than the sum of its proper divisors (111437496).

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

43668000 is a wasteful number, since it uses less digits than its factorization.

43668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 43668000 is about 6608.1767530840. The cubic root of 43668000 is about 352.1446547332.

The spelling of 43668000 in words is "forty-three million, six hundred sixty-eight thousand".