971751168 has 252 divisors, whose sum is σ = 3002619648. Its totient is φ = 313528320.

The previous prime is 971751149. The next prime is 971751191. The reversal of 971751168 is 861157179.

971751168 is a `hidden beast` number, since 9 + 71 + 7 + 511 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 7651521 + ... + 7651647.

Almost surely, 2^971751168 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 971751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501309824).

971751168 is an abundant number, since it is smaller than the sum of its proper divisors (2030868480).

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

971751168 is an equidigital number, since it uses as much as digits as its factorization.

971751168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 971751168 is about 31172.9236357452. The cubic root of 971751168 is about 990.4936381166.

The spelling of 971751168 in words is "nine hundred seventy-one million, seven hundred fifty-one thousand, one hundred sixty-eight".