667084960 has 24 divisors (see below), whose sum is σ = 1575988596. Its totient is φ = 266833920.

The previous prime is 667084937. The next prime is 667084961. The reversal of 667084960 is 69480766.

It can be written as a sum of positive squares in 2 ways, for example, as 611671824 + 55413136 = 24732^2 + 7444^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 667084960.

It is not an unprimeable number, because it can be changed into a prime (667084961) 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 3 ways as a sum of consecutive naturals, for example, 2084481 + ... + 2084800.

Almost surely, 2^667084960 is an apocalyptic number.

It is an amenable number.

667084960 is an abundant number, since it is smaller than the sum of its proper divisors (908903636).

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

667084960 is a wasteful number, since it uses less digits than its factorization.

667084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169296 (or 4169288 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 667084960 is about 25827.9879200839. The cubic root of 667084960 is about 873.7631329794.

The spelling of 667084960 in words is "six hundred sixty-seven million, eighty-four thousand, nine hundred sixty".