66487968 has 36 divisors (see below), whose sum is σ = 189075978. Its totient is φ = 22162560.

The previous prime is 66487961. The next prime is 66487979. The reversal of 66487968 is 86978466.

66487968 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., 64448784 + 2039184 = 8028^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (66487961) 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 5 ways as a sum of consecutive naturals, for example, 115143 + ... + 115718.

Almost surely, 2^66487968 is an apocalyptic number.

It is an amenable number.

66487968 is an abundant number, since it is smaller than the sum of its proper divisors (122588010).

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

66487968 is a wasteful number, since it uses less digits than its factorization.

66487968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230877 (or 230866 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66487968 is about 8154.0154525240. The cubic root of 66487968 is about 405.1175150526.

The spelling of 66487968 in words is "sixty-six million, four hundred eighty-seven thousand, nine hundred sixty-eight".