336336 has 120 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 80640.

The previous prime is 336317. The next prime is 336353. The reversal of 336336 is 633633.

It is a super-2 number, since 2×336336² = 226243809792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an Ulam number.

Its product of digits (2916) is a multiple of the sum of its prime divisors (36).

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 23 ways as a sum of consecutive naturals, for example, 25866 + ... + 25878.

2³³⁶³³⁶ 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 336336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

336336 is an abundant number, since it is smaller than the sum of its proper divisors (851088).

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

336336 is a wasteful number, since it uses less digits than its factorization.

336336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its digits is 2916, while the sum is 24.

The square root of 336336 is about 579.9448249618. The cubic root of 336336 is about 69.5436986885.

Adding to 336336 its reverse (633633), we get a palindrome (969969).

The spelling of 336336 in words is "three hundred thirty-six thousand, three hundred thirty-six".