321072160 has 48 divisors (see below), whose sum is σ = 760850496. Its totient is φ = 128036608.

The previous prime is 321072151. The next prime is 321072161. The reversal of 321072160 is 61270123.

It is not an unprimeable number, because it can be changed into a prime (321072161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52629 + ... + 58411.

It is an arithmetic number, because the mean of its divisors is an integer number (15851052).

Almost surely, 2^321072160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380425248).

321072160 is an abundant number, since it is smaller than the sum of its proper divisors (439778336).

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

321072160 is a wasteful number, since it uses less digits than its factorization.

321072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145 (or 6137 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 321072160 is about 17918.4865432324. The cubic root of 321072160 is about 684.7534303571.

The spelling of 321072160 in words is "three hundred twenty-one million, seventy-two thousand, one hundred sixty".