5986200 has 96 divisors (see below), whose sum is σ = 20266560. Its totient is φ = 1449600.

The previous prime is 5986177. The next prime is 5986207. The reversal of 5986200 is 26895.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5986207) 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, 6147 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (211110).

Almost surely, 2^5986200 is an apocalyptic number.

5986200 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 5986200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133280).

5986200 is an abundant number, since it is smaller than the sum of its proper divisors (14280360).

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

5986200 is a wasteful number, since it uses less digits than its factorization.

5986200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5986200 is about 2446.6712079885. The cubic root of 5986200 is about 181.5726397614.

The spelling of 5986200 in words is "five million, nine hundred eighty-six thousand, two hundred".