1983320832 has 54 divisors (see below), whose sum is σ = 5281812508. Its totient is φ = 660695552.

The previous prime is 1983320819. The next prime is 1983320849. The reversal of 1983320832 is 2380233891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1233373 + ... + 1234979.

Almost surely, 2^1983320832 is an apocalyptic number.

1983320832 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 1983320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640906254).

1983320832 is an abundant number, since it is smaller than the sum of its proper divisors (3298491676).

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

1983320832 is an frugal number, since it uses more digits than its factorization.

1983320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1983320832 is about 44534.4903642110. The cubic root of 1983320832 is about 1256.4088625216.

Multiplying 1983320832 by its product of nonzero digits (62208), we get a square (123378422317056 = 11107584²).

The spelling of 1983320832 in words is "one billion, nine hundred eighty-three million, three hundred twenty thousand, eight hundred thirty-two".