667131080 has 288 divisors, whose sum is σ = 2005932600. Its totient is φ = 198696960.

The previous prime is 667131071. The next prime is 667131161. The reversal of 667131080 is 80131766.

667131080 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 4 ways, for example, as 526518916 + 140612164 = 22946^2 + 11858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6877592 + ... + 6877688.

Almost surely, 2^667131080 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 667131080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002966300).

667131080 is an abundant number, since it is smaller than the sum of its proper divisors (1338801520).

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

667131080 is a wasteful number, since it uses less digits than its factorization.

667131080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 667131080 is about 25828.8807345576. The cubic root of 667131080 is about 873.7832688589.

The spelling of 667131080 in words is "six hundred sixty-seven million, one hundred thirty-one thousand, eighty".