322132320 has 144 divisors (see below), whose sum is σ = 1164028320. Its totient is φ = 80842752.

The previous prime is 322132309. The next prime is 322132351. The reversal of 322132320 is 23231223.

It is a happy number.

322132320 is a `hidden beast` number, since 322 + 1 + 323 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 322132293 and 322132302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17901 + ... + 31059.

It is an arithmetic number, because the mean of its divisors is an integer number (8083530).

Almost surely, 2^322132320 is an apocalyptic number.

322132320 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 322132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582014160).

322132320 is an abundant number, since it is smaller than the sum of its proper divisors (841896000).

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

322132320 is a wasteful number, since it uses less digits than its factorization.

322132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13197 (or 13186 counting only the distinct ones).

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

The square root of 322132320 is about 17948.0450188872. The cubic root of 322132320 is about 685.5062732150.

Adding to 322132320 its reverse (23231223), we get a palindrome (345363543).

The spelling of 322132320 in words is "three hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty".