66547968 has 72 divisors (see below), whose sum is σ = 179692128. Its totient is φ = 21860352.

The previous prime is 66547963. The next prime is 66548003. The reversal of 66547968 is 86974566.

66547968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66547968.

It is not an unprimeable number, because it can be changed into a prime (66547963) 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, 55471 + ... + 56657.

It is an arithmetic number, because the mean of its divisors is an integer number (2495724).

Almost surely, 2^66547968 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 66547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89846064).

66547968 is an abundant number, since it is smaller than the sum of its proper divisors (113144160).

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

66547968 is a wasteful number, since it uses less digits than its factorization.

66547968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1265 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 66547968 is about 8157.6937917527. The cubic root of 66547968 is about 405.2393403170.

The spelling of 66547968 in words is "sixty-six million, five hundred forty-seven thousand, nine hundred sixty-eight".