164600320 has 80 divisors (see below), whose sum is σ = 398847240. Its totient is φ = 65142784.

The previous prime is 164600311. The next prime is 164600323. The reversal of 164600320 is 23006461.

It can be written as a sum of positive squares in 4 ways, for example, as 52070656 + 112529664 = 7216^2 + 10608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 164600291 and 164600300.

It is not an unprimeable number, because it can be changed into a prime (164600323) 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, 288996 + ... + 289564.

Almost surely, 2^164600320 is an apocalyptic number.

164600320 is a gapful number since it is divisible by the number (10) 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 164600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199423620).

164600320 is an abundant number, since it is smaller than the sum of its proper divisors (234246920).

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

164600320 is an equidigital number, since it uses as much as digits as its factorization.

164600320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 164600320 is about 12829.6656230784. The cubic root of 164600320 is about 548.0374350614.

Adding to 164600320 its reverse (23006461), we get a palindrome (187606781).

The spelling of 164600320 in words is "one hundred sixty-four million, six hundred thousand, three hundred twenty".