66504 has 32 divisors (see below), whose sum is σ = 177120. Its totient is φ = 20736.

The previous prime is 66499. The next prime is 66509. The reversal of 66504 is 40566.

It is an interprime number because it is at equal distance from previous prime (66499) and next prime (66509).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66504.

It is not an unprimeable number, because it can be changed into a prime (66509) by changing a digit.

66504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (5535).

2⁶⁶⁵⁰⁴ 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 66504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88560).

66504 is an abundant number, since it is smaller than the sum of its proper divisors (110616).

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

66504 is a wasteful number, since it uses less digits than its factorization.

66504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 66504 is about 257.8836947153. The cubic root of 66504 is about 40.5150073936.

The spelling of 66504 in words is "sixty-six thousand, five hundred four".