1608852960 has 432 divisors, whose sum is σ = 6496268688. Its totient is φ = 359424000.

The previous prime is 1608852943. The next prime is 1608852983. The reversal of 1608852960 is 692588061.

1608852960 is a `hidden beast` number, since 1 + 60 + 8 + 8 + 529 + 60 = 666.

1608852960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2676660 + ... + 2677260.

It is an arithmetic number, because the mean of its divisors is an integer number (15037659).

Almost surely, 2^1608852960 is an apocalyptic number.

1608852960 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 1608852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248134344).

1608852960 is an abundant number, since it is smaller than the sum of its proper divisors (4887415728).

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

1608852960 is a wasteful number, since it uses less digits than its factorization.

1608852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1608852960 is about 40110.5093460554. The cubic root of 1608852960 is about 1171.7603131711.

The spelling of 1608852960 in words is "one billion, six hundred eight million, eight hundred fifty-two thousand, nine hundred sixty".