1600206400 has 168 divisors, whose sum is σ = 4285975680. Its totient is φ = 584509440.

The previous prime is 1600206389. The next prime is 1600206401. The reversal of 1600206400 is 46020061.

It is not an unprimeable number, because it can be changed into a prime (1600206401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2225241 + ... + 2225959.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^1600206400 is an apocalyptic number.

1600206400 is a gapful number since it is divisible by the number (10) 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 1600206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142987840).

1600206400 is an abundant number, since it is smaller than the sum of its proper divisors (2685769280).

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

1600206400 is a wasteful number, since it uses less digits than its factorization.

1600206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1600206400 is about 40002.5799168004. The cubic root of 1600206400 is about 1169.6573862278.

Adding to 1600206400 its reverse (46020061), we get a palindrome (1646226461).

The spelling of 1600206400 in words is "one billion, six hundred million, two hundred six thousand, four hundred".