366336 has 72 divisors (see below), whose sum is σ = 1103760. Its totient is φ = 119808.

The previous prime is 366329. The next prime is 366341. The reversal of 366336 is 633663.

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6886 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2³⁶⁶³³⁶ is an apocalyptic number.

366336 is a gapful number since it is divisible by the number (36) 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 366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).

366336 is an abundant number, since it is smaller than the sum of its proper divisors (737424).

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

366336 is an equidigital number, since it uses as much as digits as its factorization.

366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 366336 is about 605.2569702201. The cubic root of 366336 is about 71.5527834929.

Adding to 366336 its reverse (633663), we get a palindrome (999999).

The spelling of 366336 in words is "three hundred sixty-six thousand, three hundred thirty-six".