66748 has 24 divisors (see below), whose sum is σ = 134064. Its totient is φ = 28800.

The previous prime is 66739. The next prime is 66749. The reversal of 66748 is 84766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66749) 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 7 ways as a sum of consecutive naturals, for example, 1608 + ... + 1648.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁶⁶⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

66748 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (67032).

66748 is a wasteful number, since it uses less digits than its factorization.

66748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 91 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 66748 is about 258.3563430613. The cubic root of 66748 is about 40.5644961280.

The spelling of 66748 in words is "sixty-six thousand, seven hundred forty-eight".