1983996672 has 108 divisors (see below), whose sum is σ = 6142534776. Its totient is φ = 566845440.

The previous prime is 1983996659. The next prime is 1983996673. The reversal of 1983996672 is 2766993891.

It is not an unprimeable number, because it can be changed into a prime (1983996673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11272 + ... + 63992.

It is an arithmetic number, because the mean of its divisors is an integer number (56875322).

Almost surely, 2^1983996672 is an apocalyptic number.

1983996672 is a gapful number since it is divisible by the number (12) 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 1983996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071267388).

1983996672 is an abundant number, since it is smaller than the sum of its proper divisors (4158538104).

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

1983996672 is an equidigital number, since it uses as much as digits as its factorization.

1983996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52754 (or 52733 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The square root of 1983996672 is about 44542.0775447217. The cubic root of 1983996672 is about 1256.5515583678.

The spelling of 1983996672 in words is "one billion, nine hundred eighty-three million, nine hundred ninety-six thousand, six hundred seventy-two".