5848800 has 72 divisors (see below), whose sum is σ = 19045656. Its totient is φ = 1559040.

The previous prime is 5848783. The next prime is 5848819. The reversal of 5848800 is 88485.

5848800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5848800² = 68416922880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (264523).

Almost surely, 2^5848800 is an apocalyptic number.

5848800 is a gapful number since it is divisible by the number (50) 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 5848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522828).

5848800 is an abundant number, since it is smaller than the sum of its proper divisors (13196856).

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

5848800 is a wasteful number, since it uses less digits than its factorization.

5848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 5848800 is about 2418.4292422976. The cubic root of 5848800 is about 180.1726738074.

The spelling of 5848800 in words is "five million, eight hundred forty-eight thousand, eight hundred".