8971296 has 48 divisors (see below), whose sum is σ = 23786784. Its totient is φ = 2960384.

The previous prime is 8971283. The next prime is 8971297. The reversal of 8971296 is 6921798.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8971297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10435 + ... + 11261.

It is an arithmetic number, because the mean of its divisors is an integer number (495558).

Almost surely, 2^8971296 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 8971296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893392).

8971296 is an abundant number, since it is smaller than the sum of its proper divisors (14815488).

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

8971296 is a wasteful number, since it uses less digits than its factorization.

8971296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 8971296 is about 2995.2121794624. The cubic root of 8971296 is about 207.7870107732.

The spelling of 8971296 in words is "eight million, nine hundred seventy-one thousand, two hundred ninety-six".