971047968 has 96 divisors (see below), whose sum is σ = 2870525952. Its totient is φ = 284755200.

The previous prime is 971047949. The next prime is 971047981. The reversal of 971047968 is 869740179.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 971047968.

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, 17905 + ... + 47567.

It is an arithmetic number, because the mean of its divisors is an integer number (29901312).

Almost surely, 2^971047968 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 971047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435262976).

971047968 is an abundant number, since it is smaller than the sum of its proper divisors (1899477984).

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

971047968 is a wasteful number, since it uses less digits than its factorization.

971047968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29718 (or 29710 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 971047968 is about 31161.6425754484. The cubic root of 971047968 is about 990.2546595159.

The spelling of 971047968 in words is "nine hundred seventy-one million, forty-seven thousand, nine hundred sixty-eight".