983972000 has 288 divisors, whose sum is σ = 2823387840. Its totient is φ = 335808000.

The previous prime is 983971987. The next prime is 983972027. The reversal of 983972000 is 279389.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 47 ways as a sum of consecutive naturals, for example, 9195947 + ... + 9196053.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^983972000 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 983972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411693920).

983972000 is an abundant number, since it is smaller than the sum of its proper divisors (1839415840).

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

983972000 is a wasteful number, since it uses less digits than its factorization.

983972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 983972000 is about 31368.3279758421. The cubic root of 983972000 is about 994.6285323288.

The spelling of 983972000 in words is "nine hundred eighty-three million, nine hundred seventy-two thousand".