336144 has 40 divisors (see below), whose sum is σ = 892800. Its totient is φ = 108928.

The previous prime is 336143. The next prime is 336151. The reversal of 336144 is 441633.

It is a super-2 number, since 2×336144² = 225985577472, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 336144.

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 336144.

It is not an unprimeable number, because it can be changed into a prime (336143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2182 + ... + 2330.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2³³⁶¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

336144 is an abundant number, since it is smaller than the sum of its proper divisors (556656).

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

336144 is a wasteful number, since it uses less digits than its factorization.

336144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 336144 is about 579.7792683427. The cubic root of 336144 is about 69.5304629840.

Adding to 336144 its reverse (441633), we get a palindrome (777777).

It can be divided in two parts, 336 and 144, that multiplied together give a palindrome (48384).

The spelling of 336144 in words is "three hundred thirty-six thousand, one hundred forty-four".