336800 has 36 divisors (see below), whose sum is σ = 824166. Its totient is φ = 134400.

The previous prime is 336799. The next prime is 336803. The reversal of 336800 is 8633.

It can be written as a sum of positive squares in 3 ways, for example, as 132496 + 204304 = 364^2 + 452^2 .

It is a super-2 number, since 2×336800² = 226868480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (336803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 590 + ... + 1010.

2³³⁶⁸⁰⁰ 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 336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412083).

336800 is an abundant number, since it is smaller than the sum of its proper divisors (487366).

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

336800 is a wasteful number, since it uses less digits than its factorization.

336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 336800 is about 580.3447251419. The cubic root of 336800 is about 69.5756641920.

The spelling of 336800 in words is "three hundred thirty-six thousand, eight hundred".