971163720 has 192 divisors, whose sum is σ = 3404419200. Its totient is φ = 239293440.

The previous prime is 971163719. The next prime is 971163751. The reversal of 971163720 is 27361179.

It is a happy number.

971163720 is a `hidden beast` number, since 9 + 7 + 11 + 637 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 278709 + ... + 282171.

It is an arithmetic number, because the mean of its divisors is an integer number (17731350).

Almost surely, 2^971163720 is an apocalyptic number.

971163720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971163720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702209600).

971163720 is an abundant number, since it is smaller than the sum of its proper divisors (2433255480).

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

971163720 is a wasteful number, since it uses less digits than its factorization.

971163720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 971163720 is about 31163.4998034560. The cubic root of 971163720 is about 990.2940051188.

The spelling of 971163720 in words is "nine hundred seventy-one million, one hundred sixty-three thousand, seven hundred twenty".