1600219968 has 56 divisors (see below), whose sum is σ = 4255507872. Its totient is φ = 530686464.

The previous prime is 1600219921. The next prime is 1600220021. The reversal of 1600219968 is 8699120061.

It is a congruent number.

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, 16671 + ... + 58977.

It is an arithmetic number, because the mean of its divisors is an integer number (75991212).

Almost surely, 2^1600219968 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 1600219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127753936).

1600219968 is an abundant number, since it is smaller than the sum of its proper divisors (2655287904).

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

1600219968 is a wasteful number, since it uses less digits than its factorization.

1600219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42519 (or 42509 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1600219968 is about 40002.7495055027. The cubic root of 1600219968 is about 1169.6606920235.

The spelling of 1600219968 in words is "one billion, six hundred million, two hundred nineteen thousand, nine hundred sixty-eight".