971916960 has 432 divisors, whose sum is σ = 3765551328. Its totient is φ = 209986560.

The previous prime is 971916949. The next prime is 971916973. The reversal of 971916960 is 69619179.

971916960 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 71 ways as a sum of consecutive naturals, for example, 22602699 + ... + 22602741.

It is an arithmetic number, because the mean of its divisors is an integer number (8716554).

Almost surely, 2^971916960 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 971916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882775664).

971916960 is an abundant number, since it is smaller than the sum of its proper divisors (2793634368).

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

971916960 is a wasteful number, since it uses less digits than its factorization.

971916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The square root of 971916960 is about 31175.5827531740. The cubic root of 971916960 is about 990.5499648075.

The spelling of 971916960 in words is "nine hundred seventy-one million, nine hundred sixteen thousand, nine hundred sixty".