971343360 has 640 divisors, whose sum is σ = 3959746560. Its totient is φ = 223838208.

The previous prime is 971343323. The next prime is 971343379. The reversal of 971343360 is 63343179.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20666857 + ... + 20666903.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^971343360 is an apocalyptic number.

971343360 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 971343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979873280).

971343360 is an abundant number, since it is smaller than the sum of its proper divisors (2988403200).

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

971343360 is a wasteful number, since it uses less digits than its factorization.

971343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 971343360 is about 31166.3818881820. The cubic root of 971343360 is about 990.3550608892.

The spelling of 971343360 in words is "nine hundred seventy-one million, three hundred forty-three thousand, three hundred sixty".