8848000 has 128 divisors (see below), whose sum is σ = 25459200. Its totient is φ = 2995200.

The previous prime is 8847997. The next prime is 8848027. The reversal of 8848000 is 8488.

8848000 = 58³ + 59³ + ... + 82³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 8848000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111961 + ... + 112039.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^8848000 is an apocalyptic number.

8848000 is a gapful number since it is divisible by the number (80) 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 8848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729600).

8848000 is an abundant number, since it is smaller than the sum of its proper divisors (16611200).

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

8848000 is an equidigital number, since it uses as much as digits as its factorization.

8848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8848000 is about 2974.5587908125. The cubic root of 8848000 is about 206.8307172402.

The spelling of 8848000 in words is "eight million, eight hundred forty-eight thousand".