321168960 has 336 divisors, whose sum is σ = 1283817600. Its totient is φ = 72179712.

The previous prime is 321168943. The next prime is 321168961. The reversal of 321168960 is 69861123.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (321168961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794151 + ... + 1794329.

Almost surely, 2^321168960 is an apocalyptic number.

321168960 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 321168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

321168960 is an abundant number, since it is smaller than the sum of its proper divisors (962648640).

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

321168960 is a wasteful number, since it uses less digits than its factorization.

321168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 321168960 is about 17921.1874606567. The cubic root of 321168960 is about 684.8222388475.

The spelling of 321168960 in words is "three hundred twenty-one million, one hundred sixty-eight thousand, nine hundred sixty".