66648 has 16 divisors (see below), whose sum is σ = 166680. Its totient is φ = 22208.

The previous prime is 66643. The next prime is 66653. The reversal of 66648 is 84666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66643) and next prime (66653).

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66643) by changing a digit.

66648 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1365 + ... + 1412.

2⁶⁶⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

66648 is an abundant number, since it is smaller than the sum of its proper divisors (100032).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83340).

66648 is a wasteful number, since it uses less digits than its factorization.

66648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66648 is about 258.1627393719. The cubic root of 66648 is about 40.5442284693.

The spelling of 66648 in words is "sixty-six thousand, six hundred forty-eight".