206116500 has 192 divisors, whose sum is σ = 651006720. Its totient is φ = 50483200.

The previous prime is 206116487. The next prime is 206116511. The reversal of 206116500 is 5611602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1504432 + ... + 1504568.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 2^206116500 is an apocalyptic number.

206116500 is a gapful number since it is divisible by the number (20) 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 206116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325503360).

206116500 is an abundant number, since it is smaller than the sum of its proper divisors (444890220).

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

206116500 is a wasteful number, since it uses less digits than its factorization.

206116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 206116500 is about 14356.7579905771. The cubic root of 206116500 is about 590.7053710510.

The spelling of 206116500 in words is "two hundred six million, one hundred sixteen thousand, five hundred".