971358720 has 160 divisors (see below), whose sum is σ = 3146584320. Its totient is φ = 255590400.

The previous prime is 971358709. The next prime is 971358737. The reversal of 971358720 is 27853179.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605920 + ... + 607520.

It is an arithmetic number, because the mean of its divisors is an integer number (19666152).

Almost surely, 2^971358720 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 971358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573292160).

971358720 is an abundant number, since it is smaller than the sum of its proper divisors (2175225600).

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

971358720 is a wasteful number, since it uses less digits than its factorization.

971358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 971358720 is about 31166.6283065718. The cubic root of 971358720 is about 990.3602810733.

The spelling of 971358720 in words is "nine hundred seventy-one million, three hundred fifty-eight thousand, seven hundred twenty".