1608016000 has 64 divisors (see below), whose sum is σ = 3997969560. Its totient is φ = 643200000.

The previous prime is 1608015989. The next prime is 1608016049. The reversal of 1608016000 is 6108061.

It can be written as a sum of positive squares in 4 ways, for example, as 225961024 + 1382054976 = 15032^2 + 37176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34251 + ... + 66250.

Almost surely, 2^1608016000 is an apocalyptic number.

1608016000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608016000 is an abundant number, since it is smaller than the sum of its proper divisors (2389953560).

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

1608016000 is an equidigital number, since it uses as much as digits as its factorization.

1608016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100530 (or 100508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1608016000 is about 40100.0748128978. The cubic root of 1608016000 is about 1171.5570862658.

The spelling of 1608016000 in words is "one billion, six hundred eight million, sixteen thousand".