321169920 has 320 divisors, whose sum is σ = 1131356160. Its totient is φ = 77414400.

The previous prime is 321169913. The next prime is 321169921. The reversal of 321169920 is 29961123.

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

It is not an unprimeable number, because it can be changed into a prime (321169921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4523485 + ... + 4523555.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^321169920 is an apocalyptic number.

321169920 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 321169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

321169920 is an abundant number, since it is smaller than the sum of its proper divisors (810186240).

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

321169920 is a wasteful number, since it uses less digits than its factorization.

321169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 321169920 is about 17921.2142445762. The cubic root of 321169920 is about 684.8229211765.

The spelling of 321169920 in words is "three hundred twenty-one million, one hundred sixty-nine thousand, nine hundred twenty".