1600984000 has 448 divisors, whose sum is σ = 5203740672. Its totient is φ = 473088000.

The previous prime is 1600983997. The next prime is 1600984001. The reversal of 1600984000 is 4890061.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1600984000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600984001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14167944 + ... + 14168056.

Almost surely, 2^1600984000 is an apocalyptic number.

1600984000 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 1600984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601870336).

1600984000 is an abundant number, since it is smaller than the sum of its proper divisors (3602756672).

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

1600984000 is a wasteful number, since it uses less digits than its factorization.

1600984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1600984000 is about 40012.2981094563. The cubic root of 1600984000 is about 1169.8468156037.

The spelling of 1600984000 in words is "one billion, six hundred million, nine hundred eighty-four thousand".