320123664 has 225 divisors, whose sum is σ = 1093195191. Its totient is φ = 90175680.

The previous prime is 320123603. The next prime is 320123677. The reversal of 320123664 is 466321023.

The square root of 320123664 is 17892.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4508749 + ... + 4508819.

Almost surely, 2^320123664 is an apocalyptic number.

320123664 is the 17892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320123664

320123664 is an abundant number, since it is smaller than the sum of its proper divisors (773071527).

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

320123664 is an equidigital number, since it uses as much as digits as its factorization.

320123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 320123664 is about 684.0784766838.

Multiplying 320123664 by its product of nonzero digits (5184), we get a square (1659521074176 = 1288224²).

Adding to 320123664 its reverse (466321023), we get a palindrome (786444687).

The spelling of 320123664 in words is "three hundred twenty million, one hundred twenty-three thousand, six hundred sixty-four".