973968000 has 256 divisors, whose sum is σ = 3276599040. Its totient is φ = 255897600.

The previous prime is 973967999. The next prime is 973968007. The reversal of 973968000 is 869379.

It is a happy number.

It is a super-2 number, since 2×973968000² = 1897227330048000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (973968007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4943902 + ... + 4944098.

It is an arithmetic number, because the mean of its divisors is an integer number (12799215).

Almost surely, 2^973968000 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 973968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638299520).

973968000 is an abundant number, since it is smaller than the sum of its proper divisors (2302631040).

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

973968000 is a wasteful number, since it uses less digits than its factorization.

973968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 973968000 is about 31208.4603913746. The cubic root of 973968000 is about 991.2462623372.

The spelling of 973968000 in words is "nine hundred seventy-three million, nine hundred sixty-eight thousand".