971160000 has 140 divisors (see below), whose sum is σ = 3211278312. Its totient is φ = 258944000.

The previous prime is 971159993. The next prime is 971160007. The reversal of 971160000 is 61179.

971160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (971159993) and next prime (971160007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971160007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115954 + ... + 124046.

Almost surely, 2^971160000 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 971160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605639156).

971160000 is an abundant number, since it is smaller than the sum of its proper divisors (2240118312).

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

971160000 is an equidigital number, since it uses as much as digits as its factorization.

971160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 971160000 is about 31163.4401181898. The cubic root of 971160000 is about 990.2927406913.

The spelling of 971160000 in words is "nine hundred seventy-one million, one hundred sixty thousand".