667002880 has 96 divisors (see below), whose sum is σ = 1631939400. Its totient is φ = 261554176.

The previous prime is 667002859. The next prime is 667002881. The reversal of 667002880 is 88200766.

It can be written as a sum of positive squares in 4 ways, for example, as 666878976 + 123904 = 25824^2 + 352^2 .

It is not an unprimeable number, because it can be changed into a prime (667002881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542106 + ... + 543334.

Almost surely, 2^667002880 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 667002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815969700).

667002880 is an abundant number, since it is smaller than the sum of its proper divisors (964936520).

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

667002880 is a wasteful number, since it uses less digits than its factorization.

667002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 667002880 is about 25826.3988972524. The cubic root of 667002880 is about 873.7272947560.

The spelling of 667002880 in words is "six hundred sixty-seven million, two thousand, eight hundred eighty".