972744960 has 144 divisors (see below), whose sum is σ = 3389279040. Its totient is φ = 235806720.

The previous prime is 972744937. The next prime is 972744973. The reversal of 972744960 is 69447279.

972744960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30726 + ... + 53754.

It is an arithmetic number, because the mean of its divisors is an integer number (23536660).

Almost surely, 2^972744960 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 972744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694639520).

972744960 is an abundant number, since it is smaller than the sum of its proper divisors (2416534080).

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

972744960 is a wasteful number, since it uses less digits than its factorization.

972744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23064 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 972744960 is about 31188.8595495251. The cubic root of 972744960 is about 990.8311762709.

The spelling of 972744960 in words is "nine hundred seventy-two million, seven hundred forty-four thousand, nine hundred sixty".