5206600 has 48 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 1784640.

The previous prime is 5206571. The next prime is 5206609. The reversal of 5206600 is 66025.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5206609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 460 + ... + 3259.

It is an arithmetic number, because the mean of its divisors is an integer number (288300).

Almost surely, 2^5206600 is an apocalyptic number.

5206600 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 5206600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

5206600 is an abundant number, since it is smaller than the sum of its proper divisors (8631800).

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

5206600 is a wasteful number, since it uses less digits than its factorization.

5206600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5206600 is about 2281.7975370308. The cubic root of 5206600 is about 173.3210872348.

The spelling of 5206600 in words is "five million, two hundred six thousand, six hundred".