971260008 has 128 divisors (see below), whose sum is σ = 2637619200. Its totient is φ = 297158400.

The previous prime is 971260007. The next prime is 971260009. The reversal of 971260008 is 800062179.

It is an interprime number because it is at equal distance from previous prime (971260007) and next prime (971260009).

It is not an unprimeable number, because it can be changed into a prime (971260007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3610498 + ... + 3610766.

It is an arithmetic number, because the mean of its divisors is an integer number (20606400).

Almost surely, 2^971260008 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 971260008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318809600).

971260008 is an abundant number, since it is smaller than the sum of its proper divisors (1666359192).

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

971260008 is a wasteful number, since it uses less digits than its factorization.

971260008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 971260008 is about 31165.0446494145. The cubic root of 971260008 is about 990.3267322742.

The spelling of 971260008 in words is "nine hundred seventy-one million, two hundred sixty thousand, eight".