667584 has 84 divisors (see below), whose sum is σ = 2047240. Its totient is φ = 207360.

The previous prime is 667577. The next prime is 667631. The reversal of 667584 is 485766.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10914 + ... + 10974.

2⁶⁶⁷⁵⁸⁴ is an apocalyptic number.

667584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023620).

667584 is an abundant number, since it is smaller than the sum of its proper divisors (1379656).

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

667584 is a wasteful number, since it uses less digits than its factorization.

667584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 85 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 667584 is about 817.0581374664. The cubic root of 667584 is about 87.3980963337.

Subtracting from 667584 its product of digits (40320), we obtain a square (627264 = 792²).

It can be divided in two parts, 6 and 67584, that multiplied together give a palindrome (405504).

The spelling of 667584 in words is "six hundred sixty-seven thousand, five hundred eighty-four".