983040000 has 200 divisors, whose sum is σ = 3275748300. Its totient is φ = 262144000.

The previous prime is 983039983. The next prime is 983040029. The reversal of 983040000 is 40389.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 196607998 + ... + 196608002.

Almost surely, 2^983040000 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 983040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637874150).

983040000 is an abundant number, since it is smaller than the sum of its proper divisors (2292708300).

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

983040000 is an frugal number, since it uses more digits than its factorization.

983040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 983040000 is about 31353.4687076247. The cubic root of 983040000 is about 994.3144019052.

Multiplying 983040000 by its sum of digits (24), we get a square (23592960000 = 153600²).

983040000 divided by its sum of digits (24) gives a 4-th power (40960000 = 80⁴).

Multiplying 983040000 by its product of nonzero digits (864), we get a 4-th power (849346560000 = 960⁴).

Adding to 983040000 its reverse (40389), we get a palindrome (983080389).

The spelling of 983040000 in words is "nine hundred eighty-three million, forty thousand".