66912 has 48 divisors (see below), whose sum is σ = 190512. Its totient is φ = 20480.

The previous prime is 66889. The next prime is 66919. The reversal of 66912 is 21966.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66919) by changing a digit.

66912 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 7 ways as a sum of consecutive naturals, for example, 1612 + ... + 1652.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2⁶⁶⁹¹² 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 66912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

66912 is an abundant number, since it is smaller than the sum of its proper divisors (123600).

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

66912 is a wasteful number, since it uses less digits than its factorization.

66912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 66912 is about 258.6735394276. The cubic root of 66912 is about 40.5976913115.

The spelling of 66912 in words is "sixty-six thousand, nine hundred twelve".