366966 has 48 divisors (see below), whose sum is σ = 889200. Its totient is φ = 108864.

The previous prime is 366953. The next prime is 366967. The reversal of 366966 is 669663.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 366966.

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 366966.

It is not an unprimeable number, because it can be changed into a prime (366967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9900 + ... + 9936.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2³⁶⁶⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444600).

366966 is an abundant number, since it is smaller than the sum of its proper divisors (522234).

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

366966 is a wasteful number, since it uses less digits than its factorization.

366966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 366966 is about 605.7771867609. Note that the first 3 decimals coincide. The cubic root of 366966 is about 71.5937772231.

The spelling of 366966 in words is "three hundred sixty-six thousand, nine hundred sixty-six".