971284160 has 112 divisors (see below), whose sum is σ = 2883651840. Its totient is φ = 302730240.

The previous prime is 971284147. The next prime is 971284169. The reversal of 971284160 is 61482179.

971284160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (971284169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4931 + ... + 44349.

Almost surely, 2^971284160 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 971284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441825920).

971284160 is an abundant number, since it is smaller than the sum of its proper divisors (1912367680).

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

971284160 is a wasteful number, since it uses less digits than its factorization.

971284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39454 (or 39444 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 971284160 is about 31165.4321324123. The cubic root of 971284160 is about 990.3349409148.

The spelling of 971284160 in words is "nine hundred seventy-one million, two hundred eighty-four thousand, one hundred sixty".