972600066 has 12 divisors (see below), whose sum is σ = 2107300182. Its totient is φ = 324200016.

The previous prime is 972600029. The next prime is 972600067. The reversal of 972600066 is 660006279.

972600066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 854334441 + 118265625 = 29229^2 + 10875^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 972600066.

It is not an unprimeable number, because it can be changed into a prime (972600067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27016651 + ... + 27016686.

Almost surely, 2^972600066 is an apocalyptic number.

972600066 is an abundant number, since it is smaller than the sum of its proper divisors (1134700116).

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

972600066 is a wasteful number, since it uses less digits than its factorization.

972600066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54033345 (or 54033342 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 972600066 is about 31186.5366143790. The cubic root of 972600066 is about 990.7819778249.

The spelling of 972600066 in words is "nine hundred seventy-two million, six hundred thousand, sixty-six".