666336 has 48 divisors (see below), whose sum is σ = 1911168. Its totient is φ = 201600.

The previous prime is 666329. The next prime is 666353. The reversal of 666336 is 633666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 666336.

It is an unprimeable number.

666336 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, 741 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (39816).

2⁶⁶⁶³³⁶ is an apocalyptic number.

666336 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955584).

666336 is an abundant number, since it is smaller than the sum of its proper divisors (1244832).

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

666336 is a wasteful number, since it uses less digits than its factorization.

666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 666336 is about 816.2940646605. The cubic root of 666336 is about 87.3436008880.

The spelling of 666336 in words is "six hundred sixty-six thousand, three hundred thirty-six".