1609939968 has 264 divisors, whose sum is σ = 5322331008. Its totient is φ = 423641088.

The previous prime is 1609939963. The next prime is 1609939987. The reversal of 1609939968 is 8699399061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609939963) 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, 3633955 + ... + 3634397.

Almost surely, 2^1609939968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661165504).

1609939968 is an abundant number, since it is smaller than the sum of its proper divisors (3712391040).

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

1609939968 is a wasteful number, since it uses less digits than its factorization.

1609939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 60.

The square root of 1609939968 is about 40124.0572225691. The cubic root of 1609939968 is about 1172.0241504340.

The spelling of 1609939968 in words is "one billion, six hundred nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".