8689248 has 96 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 2838528.

The previous prime is 8689243. The next prime is 8689249. The reversal of 8689248 is 8429868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8689243) 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, 76840 + ... + 76952.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^8689248 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 8689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

8689248 is an abundant number, since it is smaller than the sum of its proper divisors (17165952).

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

8689248 is a wasteful number, since it uses less digits than its factorization.

8689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8689248 is about 2947.7530425733. The cubic root of 8689248 is about 205.5862496923.

The spelling of 8689248 in words is "eight million, six hundred eighty-nine thousand, two hundred forty-eight".