66948 has 24 divisors (see below), whose sum is σ = 178752. Its totient is φ = 19104.

The previous prime is 66947. The next prime is 66949. The reversal of 66948 is 84966.

It is an interprime number because it is at equal distance from previous prime (66947) and next prime (66949).

It is not an unprimeable number, because it can be changed into a prime (66943) by changing a digit.

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, 315 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2⁶⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

66948 is an abundant number, since it is smaller than the sum of its proper divisors (111804).

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 (89376).

66948 is a wasteful number, since it uses less digits than its factorization.

66948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 66948 is about 258.7431158505. The cubic root of 66948 is about 40.6049707973.

It can be divided in two parts, 669 and 48, that added together give a palindrome (717).

The spelling of 66948 in words is "sixty-six thousand, nine hundred forty-eight".