667392 has 72 divisors (see below), whose sum is σ = 1962240. Its totient is φ = 199680.

The previous prime is 667379. The next prime is 667417. The reversal of 667392 is 293766.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

667392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8409 + ... + 8487.

2⁶⁶⁷³⁹² 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 667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981120).

667392 is an abundant number, since it is smaller than the sum of its proper divisors (1294848).

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

667392 is a wasteful number, since it uses less digits than its factorization.

667392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 667392 is about 816.9406343181. The cubic root of 667392 is about 87.3897168421.

The spelling of 667392 in words is "six hundred sixty-seven thousand, three hundred ninety-two".