1600986816 has 672 divisors, whose sum is σ = 6053734400. Its totient is φ = 410572800.

The previous prime is 1600986769. The next prime is 1600986823. The reversal of 1600986816 is 6186890061.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 51644721 + ... + 51644751.

Almost surely, 2^1600986816 is an apocalyptic number.

1600986816 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 1600986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026867200).

1600986816 is an abundant number, since it is smaller than the sum of its proper divisors (4452747584).

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

1600986816 is a wasteful number, since it uses less digits than its factorization.

1600986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1600986816 is about 40012.3332986218. Note that the first 3 decimals coincide. The cubic root of 1600986816 is about 1169.8475014916.

The spelling of 1600986816 in words is "one billion, six hundred million, nine hundred eighty-six thousand, eight hundred sixteen".