667808964 has 81 divisors (see below), whose sum is σ = 1741014093. Its totient is φ = 215832384.

The previous prime is 667808951. The next prime is 667808969. The reversal of 667808964 is 469808766.

The square root of 667808964 is 25842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 379080900 + 288728064 = 19470^2 + 16992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 667808964.

It is not an unprimeable number, because it can be changed into a prime (667808969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9148032 + ... + 9148104.

Almost surely, 2^667808964 is an apocalyptic number.

667808964 is the 25842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667808964

667808964 is an abundant number, since it is smaller than the sum of its proper divisors (1073205129).

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

667808964 is a wasteful number, since it uses less digits than its factorization.

667808964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

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

The cubic root of 667808964 is about 874.0791243535.

The spelling of 667808964 in words is "six hundred sixty-seven million, eight hundred eight thousand, nine hundred sixty-four".