5858800 has 60 divisors (see below), whose sum is σ = 14315056. Its totient is φ = 2304000.

The previous prime is 5858791. The next prime is 5858803. The reversal of 5858800 is 88585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5858803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38725 + ... + 38875.

Almost surely, 2^5858800 is an apocalyptic number.

5858800 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 5858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157528).

5858800 is an abundant number, since it is smaller than the sum of its proper divisors (8456256).

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

5858800 is a wasteful number, since it uses less digits than its factorization.

5858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 5858800 is about 2420.4958169763. The cubic root of 5858800 is about 180.2752988973.

The spelling of 5858800 in words is "five million, eight hundred fifty-eight thousand, eight hundred".