1608160320 has 168 divisors, whose sum is σ = 5957032536. Its totient is φ = 395845632.

The previous prime is 1608160303. The next prime is 1608160349. The reversal of 1608160320 is 230618061.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 1573867584 = 5856^2 + 39672^2 .

It is a super-2 number, since 2×1608160320² = 5172359229645004800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15964 + ... + 58916.

It is an arithmetic number, because the mean of its divisors is an integer number (35458527).

Almost surely, 2^1608160320 is an apocalyptic number.

1608160320 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 1608160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978516268).

1608160320 is an abundant number, since it is smaller than the sum of its proper divisors (4348872216).

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

1608160320 is a wasteful number, since it uses less digits than its factorization.

1608160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42989 (or 42976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1608160320 is about 40101.8742704128. The cubic root of 1608160320 is about 1171.5921344371.

Adding to 1608160320 its reverse (230618061), we get a palindrome (1838778381).

The spelling of 1608160320 in words is "one billion, six hundred eight million, one hundred sixty thousand, three hundred twenty".