66366 has 16 divisors (see below), whose sum is σ = 147600. Its totient is φ = 22104.

The previous prime is 66361. The next prime is 66373.

66366 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 561 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (9225).

2⁶⁶³⁶⁶ is an apocalyptic number.

66366 is an abundant number, since it is smaller than the sum of its proper divisors (81234).

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 (73800).

66366 is a wasteful number, since it uses less digits than its factorization.

66366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 66366 is about 257.6159932923. The cubic root of 66366 is about 40.4869642546.

It can be divided in two parts, 663 and 66, that added together give a 6-th power (729 = 3⁶).

The spelling of 66366 in words is "sixty-six thousand, three hundred sixty-six".