1600209216 has 112 divisors (see below), whose sum is σ = 4714118080. Its totient is φ = 532293120.

The previous prime is 1600209211. The next prime is 1600209217. The reversal of 1600209216 is 6129020061.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1600209216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600209211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566786 + ... + 1567806.

It is an arithmetic number, because the mean of its divisors is an integer number (42090340).

Almost surely, 2^1600209216 is an apocalyptic number.

1600209216 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 1600209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357059040).

1600209216 is an abundant number, since it is smaller than the sum of its proper divisors (3113908864).

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

1600209216 is a wasteful number, since it uses less digits than its factorization.

1600209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1600209216 is about 40002.6151145147. The cubic root of 1600209216 is about 1169.6580723379.

Adding to 1600209216 its reverse (6129020061), we get a palindrome (7729229277).

The spelling of 1600209216 in words is "one billion, six hundred million, two hundred nine thousand, two hundred sixteen".