983980800 has 324 divisors, whose sum is σ = 3840238584. Its totient is φ = 238387200.

The previous prime is 983980727. The next prime is 983980801. The reversal of 983980800 is 8089389.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (983980801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 632824 + ... + 634376.

Almost surely, 2^983980800 is an apocalyptic number.

983980800 is a gapful number since it is divisible by the number (90) 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 983980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920119292).

983980800 is an abundant number, since it is smaller than the sum of its proper divisors (2856257784).

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

983980800 is a wasteful number, since it uses less digits than its factorization.

983980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 983980800 is about 31368.4682444011. The cubic root of 983980800 is about 994.6314974216.

The spelling of 983980800 in words is "nine hundred eighty-three million, nine hundred eighty thousand, eight hundred".