971944880 has 80 divisors (see below), whose sum is σ = 2310789600. Its totient is φ = 380092416.

The previous prime is 971944877. The next prime is 971944901. The reversal of 971944880 is 88449179.

It is a tau number, because it is divible by the number of its divisors (80).

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, 798032 + ... + 799248.

It is an arithmetic number, because the mean of its divisors is an integer number (28884870).

Almost surely, 2^971944880 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 971944880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155394800).

971944880 is an abundant number, since it is smaller than the sum of its proper divisors (1338844720).

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

971944880 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (971944879) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1446).

971944880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 971944880 is about 31176.0305362950. The cubic root of 971944880 is about 990.5594498052.

The spelling of 971944880 in words is "nine hundred seventy-one million, nine hundred forty-four thousand, eight hundred eighty".