1608584172 has 96 divisors (see below), whose sum is σ = 4204247040. Its totient is φ = 475338240.

The previous prime is 1608584171. The next prime is 1608584207. The reversal of 1608584172 is 2714858061.

It is not an unprimeable number, because it can be changed into a prime (1608584171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671008 + ... + 673400.

It is an arithmetic number, because the mean of its divisors is an integer number (43794240).

Almost surely, 2^1608584172 is an apocalyptic number.

1608584172 is a gapful number since it is divisible by the number (12) 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 1608584172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102123520).

1608584172 is an abundant number, since it is smaller than the sum of its proper divisors (2595662868).

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

1608584172 is a wasteful number, since it uses less digits than its factorization.

1608584172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1608584172 is about 40107.1586128960. The cubic root of 1608584172 is about 1171.6950549488.

The spelling of 1608584172 in words is "one billion, six hundred eight million, five hundred eighty-four thousand, one hundred seventy-two".