971576704 has 192 divisors, whose sum is σ = 2455833600. Its totient is φ = 380298240.

The previous prime is 971576693. The next prime is 971576717. The reversal of 971576704 is 407675179.

It is a super-2 number, since 2×971576704² = 1887922583511007232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3694077 + ... + 3694339.

It is an arithmetic number, because the mean of its divisors is an integer number (12790800).

Almost surely, 2^971576704 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 971576704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227916800).

971576704 is an abundant number, since it is smaller than the sum of its proper divisors (1484256896).

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

971576704 is a wasteful number, since it uses less digits than its factorization.

971576704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 46.

The square root of 971576704 is about 31170.1251842209. The cubic root of 971576704 is about 990.4343582549.

The spelling of 971576704 in words is "nine hundred seventy-one million, five hundred seventy-six thousand, seven hundred four".