322323120 has 240 divisors, whose sum is σ = 1277632512. Its totient is φ = 71262720.

The previous prime is 322323119. The next prime is 322323149. The reversal of 322323120 is 21323223.

It is a happy number.

322323120 is a `hidden beast` number, since 322 + 32 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322323093 and 322323102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155209 + ... + 157271.

Almost surely, 2^322323120 is an apocalyptic number.

322323120 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 322323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638816256).

322323120 is an abundant number, since it is smaller than the sum of its proper divisors (955309392).

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

322323120 is a wasteful number, since it uses less digits than its factorization.

322323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 322323120 is about 17953.3595741856. The cubic root of 322323120 is about 685.6415890194.

Adding to 322323120 its reverse (21323223), we get a palindrome (343646343).

The spelling of 322323120 in words is "three hundred twenty-two million, three hundred twenty-three thousand, one hundred twenty".