66443328 has 140 divisors (see below), whose sum is σ = 225218752. Its totient is φ = 18973440.

The previous prime is 66443309. The next prime is 66443339. The reversal of 66443328 is 82334466.

It is a happy number.

66443328 is a `hidden beast` number, since 6 + 644 + 3 + 3 + 2 + 8 = 666.

66443328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66443292 and 66443301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35373 + ... + 37203.

Almost surely, 2^66443328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112609376).

66443328 is an abundant number, since it is smaller than the sum of its proper divisors (158775424).

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

66443328 is a wasteful number, since it uses less digits than its factorization.

66443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1843 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66443328 is about 8151.2776912580. The cubic root of 66443328 is about 405.0268294983.

The spelling of 66443328 in words is "sixty-six million, four hundred forty-three thousand, three hundred twenty-eight".