5857200 has 90 divisors (see below), whose sum is σ = 20338604. Its totient is φ = 1560960.

The previous prime is 5857193. The next prime is 5857237. The reversal of 5857200 is 27585.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2787 + ... + 4413.

Almost surely, 2^5857200 is an apocalyptic number.

5857200 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 5857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169302).

5857200 is an abundant number, since it is smaller than the sum of its proper divisors (14481404).

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

5857200 is a wasteful number, since it uses less digits than its factorization.

5857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5857200 is about 2420.1652836118. The cubic root of 5857200 is about 180.2588867344.

The spelling of 5857200 in words is "five million, eight hundred fifty-seven thousand, two hundred".