1983996032 has 72 divisors (see below), whose sum is σ = 4116516255. Its totient is φ = 952439040.

The previous prime is 1983996013. The next prime is 1983996037. The reversal of 1983996032 is 2306993891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 991998016 + 991998016 = 31496^2 + 31496^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31496.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1983996037) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15621953 + ... + 15622079.

Almost surely, 2^1983996032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983996032

1983996032 is an abundant number, since it is smaller than the sum of its proper divisors (2132520223).

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

1983996032 is an frugal number, since it uses more digits than its factorization.

1983996032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 50.

The square root of 1983996032 is about 44542.0703605030. The cubic root of 1983996032 is about 1256.5514232545.

Multiplying 1983996032 by its sum of digits (50), we get a square (99199801600 = 314960²).

The spelling of 1983996032 in words is "one billion, nine hundred eighty-three million, nine hundred ninety-six thousand, thirty-two".