320225164 has 48 divisors (see below), whose sum is σ = 695941120. Its totient is φ = 125815680.

The previous prime is 320225161. The next prime is 320225179. The reversal of 320225164 is 461522023.

It is not an unprimeable number, because it can be changed into a prime (320225161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6784 + ... + 26200.

Almost surely, 2^320225164 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 320225164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347970560).

320225164 is an abundant number, since it is smaller than the sum of its proper divisors (375715956).

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

320225164 is a wasteful number, since it uses less digits than its factorization.

320225164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19478 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 320225164 is about 17894.8362384236. The cubic root of 320225164 is about 684.1507681512.

Adding to 320225164 its reverse (461522023), we get a palindrome (781747187).

The spelling of 320225164 in words is "three hundred twenty million, two hundred twenty-five thousand, one hundred sixty-four".