66824 has 8 divisors (see below), whose sum is σ = 125310. Its totient is φ = 33408.

The previous prime is 66821. The next prime is 66841. The reversal of 66824 is 42866.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 13924 = 230^2 + 118^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 66793 and 66802.

It is not an unprimeable number, because it can be changed into a prime (66821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4169 + ... + 4184.

2⁶⁶⁸²⁴ is an apocalyptic number.

It is an amenable number.

66824 is a deficient number, since it is larger than the sum of its proper divisors (58486).

66824 is a wasteful number, since it uses less digits than its factorization.

66824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8355 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 66824 is about 258.5033848908. The cubic root of 66824 is about 40.5798860142.

The spelling of 66824 in words is "sixty-six thousand, eight hundred twenty-four".