972984000 has 224 divisors, whose sum is σ = 3263749632. Its totient is φ = 255360000.

The previous prime is 972983993. The next prime is 972984043. The reversal of 972984000 is 489279.

It is a self number, because there is not a number n which added to its sum of digits gives 972984000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703715 + ... + 1704285.

Almost surely, 2^972984000 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 972984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631874816).

972984000 is an abundant number, since it is smaller than the sum of its proper divisors (2290765632).

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

972984000 is a wasteful number, since it uses less digits than its factorization.

972984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 972984000 is about 31192.6914516846. The cubic root of 972984000 is about 990.9123311114.

The spelling of 972984000 in words is "nine hundred seventy-two million, nine hundred eighty-four thousand".