66956 has 12 divisors (see below), whose sum is σ = 123480. Its totient is φ = 31680.

The previous prime is 66949. The next prime is 66959. The reversal of 66956 is 65966.

It is not an unprimeable number, because it can be changed into a prime (66959) by changing a digit.

66956 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 3 ways as a sum of consecutive naturals, for example, 365 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2⁶⁶⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

66956 is a deficient number, since it is larger than the sum of its proper divisors (56524).

66956 is a wasteful number, since it uses less digits than its factorization.

66956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 66956 is about 258.7585747371. The cubic root of 66956 is about 40.6065881064.

Subtracting from 66956 its reverse (65966), we obtain a triangular number (990 = T₄₄).

The spelling of 66956 in words is "sixty-six thousand, nine hundred fifty-six".