206125216 has 48 divisors (see below), whose sum is σ = 444655008. Its totient is φ = 93280000.

The previous prime is 206125193. The next prime is 206125217. The reversal of 206125216 is 612521602.

It is not an unprimeable number, because it can be changed into a prime (206125217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87186 + ... + 89518.

It is an arithmetic number, because the mean of its divisors is an integer number (9263646).

Almost surely, 2^206125216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222327504).

206125216 is an abundant number, since it is smaller than the sum of its proper divisors (238529792).

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

206125216 is a wasteful number, since it uses less digits than its factorization.

206125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 206125216 is about 14357.0615377939. The cubic root of 206125216 is about 590.7136972733.

Adding to 206125216 its reverse (612521602), we get a palindrome (818646818).

The spelling of 206125216 in words is "two hundred six million, one hundred twenty-five thousand, two hundred sixteen".