322320000 has 320 divisors, whose sum is σ = 1147132800. Its totient is φ = 79872000.

The previous prime is 322319981. The next prime is 322320001. The reversal of 322320000 is 23223.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (322320001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4079961 + ... + 4080039.

It is an arithmetic number, because the mean of its divisors is an integer number (3584790).

Almost surely, 2^322320000 is an apocalyptic number.

322320000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573566400).

322320000 is an abundant number, since it is smaller than the sum of its proper divisors (824812800).

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

322320000 is an equidigital number, since it uses as much as digits as its factorization.

322320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 322320000 is about 17953.2726821602. The cubic root of 322320000 is about 685.6393767377.

Adding to 322320000 its reverse (23223), we get a palindrome (322343223).

The spelling of 322320000 in words is "three hundred twenty-two million, three hundred twenty thousand".