5855800 has 96 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 2090880.

The previous prime is 5855797. The next prime is 5855833. The reversal of 5855800 is 85585.

5855800 = T₁₃₅ + T₁₃₆ + ... + T₃₃₄.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87367 + ... + 87433.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

Almost surely, 2^5855800 is an apocalyptic number.

5855800 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 5855800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5855800 is an abundant number, since it is smaller than the sum of its proper divisors (9321800).

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

5855800 is a wasteful number, since it uses less digits than its factorization.

5855800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The square root of 5855800 is about 2419.8760298825. The cubic root of 5855800 is about 180.2445236399.

The spelling of 5855800 in words is "five million, eight hundred fifty-five thousand, eight hundred".