667767168 has 96 divisors (see below), whose sum is σ = 1927341000. Its totient is φ = 221921280.

The previous prime is 667767131. The next prime is 667767169. The reversal of 667767168 is 861767766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667767169) 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 11 ways as a sum of consecutive naturals, for example, 516603 + ... + 517893.

Almost surely, 2^667767168 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 667767168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963670500).

667767168 is an abundant number, since it is smaller than the sum of its proper divisors (1259573832).

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

667767168 is a wasteful number, since it uses less digits than its factorization.

667767168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1745 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 667767168 is about 25841.1913038080. The cubic root of 667767168 is about 874.0608887127.

The spelling of 667767168 in words is "six hundred sixty-seven million, seven hundred sixty-seven thousand, one hundred sixty-eight".