848000 has 64 divisors (see below), whose sum is σ = 2148120. Its totient is φ = 332800.

The previous prime is 847997. The next prime is 848017. The reversal of 848000 is 848.

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 506944 = 584^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15974 + ... + 16026.

2⁸⁴⁸⁰⁰⁰ is an apocalyptic number.

848000 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 848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060).

848000 is an abundant number, since it is smaller than the sum of its proper divisors (1300120).

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

848000 is an equidigital number, since it uses as much as digits as its factorization.

848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 848000 is about 920.8691546577. The cubic root of 848000 is about 94.6524698233.

Adding to 848000 its reverse (848), we get a palindrome (848848).

848000 divided by its reverse (848) gives a cube (1000 = 10³).

The spelling of 848000 in words is "eight hundred forty-eight thousand".