320633000 has 64 divisors (see below), whose sum is σ = 774558720. Its totient is φ = 124104000.

The previous prime is 320632981. The next prime is 320633003. The reversal of 320633000 is 336023.

It is a self number, because there is not a number n which added to its sum of digits gives 320633000.

It is not an unprimeable number, because it can be changed into a prime (320633003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25829 + ... + 36171.

It is an arithmetic number, because the mean of its divisors is an integer number (12102480).

Almost surely, 2^320633000 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 320633000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387279360).

320633000 is an abundant number, since it is smaller than the sum of its proper divisors (453925720).

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

320633000 is a wasteful number, since it uses less digits than its factorization.

320633000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 320633000 is about 17906.2279668276. The cubic root of 320633000 is about 684.4410877708.

Adding to 320633000 its reverse (336023), we get a palindrome (320969023).

The spelling of 320633000 in words is "three hundred twenty million, six hundred thirty-three thousand".