666824832 has 128 divisors (see below), whose sum is σ = 2053872000. Its totient is φ = 212585472.

The previous prime is 666824819. The next prime is 666824833. The reversal of 666824832 is 238428666.

666824832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (666824833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75294 + ... + 83682.

It is an arithmetic number, because the mean of its divisors is an integer number (16045875).

Almost surely, 2^666824832 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 666824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026936000).

666824832 is an abundant number, since it is smaller than the sum of its proper divisors (1387047168).

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

666824832 is a wasteful number, since it uses less digits than its factorization.

666824832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8417 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 666824832 is about 25822.9516515831. The cubic root of 666824832 is about 873.6495443463.

The spelling of 666824832 in words is "six hundred sixty-six million, eight hundred twenty-four thousand, eight hundred thirty-two".