66924 has 54 divisors (see below), whose sum is σ = 199836. Its totient is φ = 18720.

The previous prime is 66923. The next prime is 66931. The reversal of 66924 is 42966.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5142 + ... + 5154.

2⁶⁶⁹²⁴ 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 66924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99918).

66924 is an abundant number, since it is smaller than the sum of its proper divisors (132912).

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

66924 is a wasteful number, since it uses less digits than its factorization.

66924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66924 is about 258.6967336477. The cubic root of 66924 is about 40.6001180968.

It can be divided in two parts, 66 and 924, that added together give a triangular number (990 = T₄₄).

The spelling of 66924 in words is "sixty-six thousand, nine hundred twenty-four".