8971248 has 80 divisors (see below), whose sum is σ = 27248256. Its totient is φ = 2507520.

The previous prime is 8971243. The next prime is 8971271. The reversal of 8971248 is 8421798.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8971241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6211 + ... + 7517.

Almost surely, 2^8971248 is an apocalyptic number.

8971248 is a gapful number since it is divisible by the number (88) 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 8971248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624128).

8971248 is an abundant number, since it is smaller than the sum of its proper divisors (18277008).

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

8971248 is a wasteful number, since it uses less digits than its factorization.

8971248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 8971248 is about 2995.2041666638. The cubic root of 8971248 is about 207.7866401915.

8971248 divided by its sum of digits (39) gives a palindrome (230032).

It can be divided in two parts, 897 and 1248, that added together give a triangular number (2145 = T₆₅).

The spelling of 8971248 in words is "eight million, nine hundred seventy-one thousand, two hundred forty-eight".