5086200 has 144 divisors (see below), whose sum is σ = 18447480. Its totient is φ = 1155840.

The previous prime is 5086189. The next prime is 5086219. The reversal of 5086200 is 26805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29314 + ... + 29486.

Almost surely, 2^5086200 is an apocalyptic number.

5086200 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 5086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223740).

5086200 is an abundant number, since it is smaller than the sum of its proper divisors (13361280).

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

5086200 is a wasteful number, since it uses less digits than its factorization.

5086200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5086200 is about 2255.2605171022. The cubic root of 5086200 is about 171.9746672624.

The spelling of 5086200 in words is "five million, eighty-six thousand, two hundred".