66704 has 20 divisors (see below), whose sum is σ = 141360. Its totient is φ = 30240.

The previous prime is 66701. The next prime is 66713. The reversal of 66704 is 40766.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 66704.

It is not an unprimeable number, because it can be changed into a prime (66701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁶⁶⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

66704 is an abundant number, since it is smaller than the sum of its proper divisors (74656).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

66704 is a wasteful number, since it uses less digits than its factorization.

66704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 66704 is about 258.2711753177. The cubic root of 66704 is about 40.5555808539. Note that the first 4 decimals are identical.

It can be divided in two parts, 66 and 704, that multiplied together give a palindrome (46464).

The spelling of 66704 in words is "sixty-six thousand, seven hundred four".