9971360 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3290112.

The previous prime is 9971359. The next prime is 9971363. The reversal of 9971360 is 631799.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 9971360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971363) 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, 32327 + ... + 32633.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 2^9971360 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 9971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

9971360 is an abundant number, since it is smaller than the sum of its proper divisors (17970400).

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

9971360 is a wasteful number, since it uses less digits than its factorization.

9971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 9971360 is about 3157.7460315865. The cubic root of 9971360 is about 215.2375956391.

The spelling of 9971360 in words is "nine million, nine hundred seventy-one thousand, three hundred sixty".