1608863616 has 192 divisors, whose sum is σ = 4952132640. Its totient is φ = 500121600.

The previous prime is 1608863611. The next prime is 1608863671. The reversal of 1608863616 is 6163688061.

1608863616 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 8 + 636 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608863611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1085596 + ... + 1087076.

Almost surely, 2^1608863616 is an apocalyptic number.

1608863616 is a gapful number since it is divisible by the number (16) 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 1608863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476066320).

1608863616 is an abundant number, since it is smaller than the sum of its proper divisors (3343269024).

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

1608863616 is a wasteful number, since it uses less digits than its factorization.

1608863616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1608863616 is about 40110.6421788532. The cubic root of 1608863616 is about 1171.7629001592.

The spelling of 1608863616 in words is "one billion, six hundred eight million, eight hundred sixty-three thousand, six hundred sixteen".