1983079320 has 128 divisors (see below), whose sum is σ = 6223011840. Its totient is φ = 504599040.

The previous prime is 1983079283. The next prime is 1983079327. The reversal of 1983079320 is 239703891.

1983079320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983079327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823817 + ... + 1824903.

It is an arithmetic number, because the mean of its divisors is an integer number (48617280).

Almost surely, 2^1983079320 is an apocalyptic number.

1983079320 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 1983079320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111505920).

1983079320 is an abundant number, since it is smaller than the sum of its proper divisors (4239932520).

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

1983079320 is a wasteful number, since it uses less digits than its factorization.

1983079320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1983079320 is about 44531.7787652818. The cubic root of 1983079320 is about 1256.3578621775.

It can be divided in two parts, 19830 and 79320, that multiplied together give a square (1572915600 = 39660²).

The spelling of 1983079320 in words is "one billion, nine hundred eighty-three million, seventy-nine thousand, three hundred twenty".