1983600000 has 576 divisors, whose sum is σ = 7769034000. Its totient is φ = 483840000.

The previous prime is 1983599999. The next prime is 1983600041. The reversal of 1983600000 is 63891.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68399986 + ... + 68400014.

Almost surely, 2^1983600000 is an apocalyptic number.

1983600000 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 1983600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884517000).

1983600000 is an abundant number, since it is smaller than the sum of its proper divisors (5785434000).

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

1983600000 is an equidigital number, since it uses as much as digits as its factorization.

1983600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

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

The square root of 1983600000 is about 44537.6245437495. The cubic root of 1983600000 is about 1256.4678095643.

Adding to 1983600000 its reverse (63891), we get a palindrome (1983663891).

The spelling of 1983600000 in words is "one billion, nine hundred eighty-three million, six hundred thousand".