66348 has 36 divisors (see below), whose sum is σ = 178360. Its totient is φ = 20736.

The previous prime is 66347. The next prime is 66359. The reversal of 66348 is 84366.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (66343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636 + ... + 732.

2⁶⁶³⁴⁸ 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 66348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89180).

66348 is an abundant number, since it is smaller than the sum of its proper divisors (112012).

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

66348 is a wasteful number, since it uses less digits than its factorization.

66348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66348 is about 257.5810552040. The cubic root of 66348 is about 40.4833035887.

It can be divided in two parts, 66 and 348, that added together give a palindrome (414).

The spelling of 66348 in words is "sixty-six thousand, three hundred forty-eight".