1983272004 has 144 divisors (see below), whose sum is σ = 5846480640. Its totient is φ = 555206400.

The previous prime is 1983271999. The next prime is 1983272023. The reversal of 1983272004 is 4002723891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1983272004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828854 + ... + 2829554.

It is an arithmetic number, because the mean of its divisors is an integer number (40600560).

Almost surely, 2^1983272004 is an apocalyptic number.

1983272004 is a gapful number since it is divisible by the number (14) 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 1983272004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923240320).

1983272004 is an abundant number, since it is smaller than the sum of its proper divisors (3863208636).

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

1983272004 is a wasteful number, since it uses less digits than its factorization.

1983272004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1983272004 is about 44533.9421565170. The cubic root of 1983272004 is about 1256.3985517952.

Adding to 1983272004 its reverse (4002723891), we get a palindrome (5985995895).

The spelling of 1983272004 in words is "one billion, nine hundred eighty-three million, two hundred seventy-two thousand, four".