323200 has 48 divisors (see below), whose sum is σ = 806310. Its totient is φ = 128000.

The previous prime is 323149. The next prime is 323201. The reversal of 323200 is 2323.

323200 = T₂₄ + T₂₅ + ... + T₁₂₄.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 18496 = 552^2 + 136^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (323201) by changing a digit.

323200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3150 + ... + 3250.

2³²³²⁰⁰ 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 323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403155).

323200 is an abundant number, since it is smaller than the sum of its proper divisors (483110).

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

323200 is a wasteful number, since it uses less digits than its factorization.

323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 323200 is about 568.5068161421. The cubic root of 323200 is about 68.6262788649.

Adding to 323200 its reverse (2323), we get a palindrome (325523).

It can be divided in two parts, 32 and 3200, that multiplied together give a square (102400 = 320²).

The spelling of 323200 in words is "three hundred twenty-three thousand, two hundred", and thus it is an iban number.