667407 has 16 divisors (see below), whose sum is σ = 973280. Its totient is φ = 404352.

The previous prime is 667379. The next prime is 667417. The reversal of 667407 is 704766.

It is not a de Polignac number, because 667407 - 2¹¹ = 665359 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4173 + ... + 4329.

It is an arithmetic number, because the mean of its divisors is an integer number (60830).

2⁶⁶⁷⁴⁰⁷ is an apocalyptic number.

667407 is a deficient number, since it is larger than the sum of its proper divisors (305873).

667407 is a wasteful number, since it uses less digits than its factorization.

667407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 667407 is about 816.9498148601. The cubic root of 667407 is about 87.3903715478.

The spelling of 667407 in words is "six hundred sixty-seven thousand, four hundred seven".