66871968 has 48 divisors (see below), whose sum is σ = 176188320. Its totient is φ = 22208256.

The previous prime is 66871951. The next prime is 66871969. The reversal of 66871968 is 86917866.

It is a happy number.

66871968 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66871968.

It is not an unprimeable number, because it can be changed into a prime (66871969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28338 + ... + 30606.

It is an arithmetic number, because the mean of its divisors is an integer number (3670590).

Almost surely, 2^66871968 is an apocalyptic number.

It is an amenable number.

66871968 is an abundant number, since it is smaller than the sum of its proper divisors (109316352).

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

66871968 is a wasteful number, since it uses less digits than its factorization.

66871968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2581 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 66871968 is about 8177.5282329075. The cubic root of 66871968 is about 405.8959345666.

The spelling of 66871968 in words is "sixty-six million, eight hundred seventy-one thousand, nine hundred sixty-eight".