1608644352 has 144 divisors (see below), whose sum is σ = 4961196800. Its totient is φ = 453206016.

The previous prime is 1608644341. The next prime is 1608644437. The reversal of 1608644352 is 2534468061.

It is a self number, because there is not a number n which added to its sum of digits gives 1608644352.

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 15 ways as a sum of consecutive naturals, for example, 390399 + ... + 394497.

Almost surely, 2^1608644352 is an apocalyptic number.

1608644352 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 1608644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480598400).

1608644352 is an abundant number, since it is smaller than the sum of its proper divisors (3352552448).

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

1608644352 is an equidigital number, since it uses as much as digits as its factorization.

1608644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1608644352 is about 40107.9088460119. The cubic root of 1608644352 is about 1171.7096664998.

The spelling of 1608644352 in words is "one billion, six hundred eight million, six hundred forty-four thousand, three hundred fifty-two".