66306 has 16 divisors (see below), whose sum is σ = 136224. Its totient is φ = 21504.

The previous prime is 66301. The next prime is 66337. The reversal of 66306 is 60366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66301) by changing a digit.

66306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (8514).

2⁶⁶³⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 257×258.

66306 is an abundant number, since it is smaller than the sum of its proper divisors (69918).

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 (68112).

66306 is a wasteful number, since it uses less digits than its factorization.

66306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66306 is about 257.4995145626. The cubic root of 66306 is about 40.4747594595.

The spelling of 66306 in words is "sixty-six thousand, three hundred six".