1608083456 has 96 divisors (see below), whose sum is σ = 3835278720. Its totient is φ = 659079168.

The previous prime is 1608083413. The next prime is 1608083489. The reversal of 1608083456 is 6543808061.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327290 + ... + 332166.

It is an arithmetic number, because the mean of its divisors is an integer number (39950820).

Almost surely, 2^1608083456 is an apocalyptic number.

1608083456 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 1608083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917639360).

1608083456 is an abundant number, since it is smaller than the sum of its proper divisors (2227195264).

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

1608083456 is an equidigital number, since it uses as much as digits as its factorization.

1608083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 1608083456 is about 40100.9158997647. The cubic root of 1608083456 is about 1171.5734682442.

The spelling of 1608083456 in words is "one billion, six hundred eight million, eighty-three thousand, four hundred fifty-six".