8509248 has 168 divisors, whose sum is σ = 28529280. Its totient is φ = 2396160.

The previous prime is 8509247. The next prime is 8509261. The reversal of 8509248 is 8429058.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107673 + ... + 107751.

Almost surely, 2^8509248 is an apocalyptic number.

8509248 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 8509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14264640).

8509248 is an abundant number, since it is smaller than the sum of its proper divisors (20020032).

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

8509248 is a wasteful number, since it uses less digits than its factorization.

8509248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8509248 is about 2917.0615351754. The cubic root of 8509248 is about 204.1567422822.

The spelling of 8509248 in words is "eight million, five hundred nine thousand, two hundred forty-eight".