848088000 has 168 divisors, whose sum is σ = 3034009680. Its totient is φ = 226137600.

The previous prime is 848087983. The next prime is 848088001. The reversal of 848088000 is 880848.

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 (848088001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66111 + ... + 77889.

Almost surely, 2^848088000 is an apocalyptic number.

848088000 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 848088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517004840).

848088000 is an abundant number, since it is smaller than the sum of its proper divisors (2185921680).

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

848088000 is a wasteful number, since it uses less digits than its factorization.

848088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 848088000 is about 29121.9504841279. The cubic root of 848088000 is about 946.5574385206.

The spelling of 848088000 in words is "eight hundred forty-eight million, eighty-eight thousand".