8629248 has 66 divisors (see below), whose sum is σ = 23442244. Its totient is φ = 2822144.

The previous prime is 8629241. The next prime is 8629279. The reversal of 8629248 is 8429268.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8629241) 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 5 ways as a sum of consecutive naturals, for example, 162790 + ... + 162842.

Almost surely, 2^8629248 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 8629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721122).

8629248 is an abundant number, since it is smaller than the sum of its proper divisors (14812996).

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

8629248 is an equidigital number, since it uses as much as digits as its factorization.

8629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 58 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 8629248 is about 2937.5581696368. The cubic root of 8629248 is about 205.1119594656. Note that the first 3 decimals are identical.

The spelling of 8629248 in words is "eight million, six hundred twenty-nine thousand, two hundred forty-eight".