983120320 has 336 divisors, whose sum is σ = 3012033600. Its totient is φ = 305270784.

The previous prime is 983120311. The next prime is 983120321. The reversal of 983120320 is 23021389.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983120321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18549414 + ... + 18549466.

Almost surely, 2^983120320 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 983120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506016800).

983120320 is an abundant number, since it is smaller than the sum of its proper divisors (2028913280).

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

983120320 is a wasteful number, since it uses less digits than its factorization.

983120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 983120320 is about 31354.7495604733. The cubic root of 983120320 is about 994.3414815621.

The spelling of 983120320 in words is "nine hundred eighty-three million, one hundred twenty thousand, three hundred twenty".