66976 has 48 divisors (see below), whose sum is σ = 169344. Its totient is φ = 25344.

The previous prime is 66973. The next prime is 66977. The reversal of 66976 is 67966.

66976 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (66973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2901 + ... + 2923.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁶⁶⁹⁷⁶ 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 66976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

66976 is an abundant number, since it is smaller than the sum of its proper divisors (102368).

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

66976 is a wasteful number, since it uses less digits than its factorization.

66976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 45 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 66976 is about 258.7972179139. The cubic root of 66976 is about 40.6106308156.

Subtracting 66976 from its reverse (67966), we obtain a triangular number (990 = T₄₄).

The spelling of 66976 in words is "sixty-six thousand, nine hundred seventy-six".