971308368 has 320 divisors, whose sum is σ = 3099801600. Its totient is φ = 290304000.

The previous prime is 971308363. The next prime is 971308391. The reversal of 971308368 is 863803179.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971308363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15923058 + ... + 15923118.

It is an arithmetic number, because the mean of its divisors is an integer number (9686880).

Almost surely, 2^971308368 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 971308368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549900800).

971308368 is an abundant number, since it is smaller than the sum of its proper divisors (2128493232).

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

971308368 is a wasteful number, since it uses less digits than its factorization.

971308368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 971308368 is about 31165.8205090128. The cubic root of 971308368 is about 990.3431684518.

The spelling of 971308368 in words is "nine hundred seventy-one million, three hundred eight thousand, three hundred sixty-eight".