667964 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 264960.

The previous prime is 667963. The next prime is 667987. The reversal of 667964 is 469766.

It is a Harshad number since it is a multiple of its sum of digits (38).

Together with 783556 it forms an amicable pair .

Its product of digits (54432) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14189 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁶⁶⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

667964 is an abundant number, since it is smaller than the sum of its proper divisors (783556).

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

667964 is a wasteful number, since it uses less digits than its factorization.

667964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 667964 is about 817.2906459761. The cubic root of 667964 is about 87.4146760086.

667964 divided by its sum of digits (38) gives a triangular number (17578 = T₁₈₇).

The spelling of 667964 in words is "six hundred sixty-seven thousand, nine hundred sixty-four".