900320 has 48 divisors (see below), whose sum is σ = 2258928. Its totient is φ = 337920.

The previous prime is 900307. The next prime is 900329. The reversal of 900320 is 23009.

It is a happy number.

It is a super-3 number, since 3×900320³ = 2189333629538304000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 900295 and 900304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900329) by changing a digit.

900320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (47061).

2⁹⁰⁰³²⁰ 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 900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129464).

900320 is an abundant number, since it is smaller than the sum of its proper divisors (1358608).

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

900320 is a wasteful number, since it uses less digits than its factorization.

900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 900320 is about 948.8519378702. The cubic root of 900320 is about 96.5603799418.

Adding to 900320 its reverse (23009), we get a palindrome (923329).

The spelling of 900320 in words is "nine hundred thousand, three hundred twenty".