667812 has 48 divisors (see below), whose sum is σ = 1713600. Its totient is φ = 201600.

The previous prime is 667801. The next prime is 667817. The reversal of 667812 is 218766.

It is a happy number.

It is a Smith number, since the sum of its digits (30) 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 667812.

It is not an unprimeable number, because it can be changed into a prime (667817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6562 + ... + 6662.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2⁶⁶⁷⁸¹² 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 667812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856800).

667812 is an abundant number, since it is smaller than the sum of its proper divisors (1045788).

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

667812 is a wasteful number, since it uses less digits than its factorization.

667812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 667812 is about 817.1976505106. The cubic root of 667812 is about 87.4080448934.

The spelling of 667812 in words is "six hundred sixty-seven thousand, eight hundred twelve".