66576 has 40 divisors (see below), whose sum is σ = 183520. Its totient is φ = 20736.

The previous prime is 66571. The next prime is 66587. The reversal of 66576 is 67566.

66576 is an undulating number in base 8.

It is not an unprimeable number, because it can be changed into a prime (66571) by changing a digit.

66576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876 + ... + 948.

It is an arithmetic number, because the mean of its divisors is an integer number (4588).

2⁶⁶⁵⁷⁶ 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 66576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91760).

66576 is an abundant number, since it is smaller than the sum of its proper divisors (116944).

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

66576 is a wasteful number, since it uses less digits than its factorization.

66576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 66576 is about 258.0232547659. The cubic root of 66576 is about 40.5296231984.

Subtracting 66576 from its reverse (67566), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 665 and 76, that added together give a triangular number (741 = T₃₈).

The spelling of 66576 in words is "sixty-six thousand, five hundred seventy-six".