206010080 has 192 divisors, whose sum is σ = 558472320. Its totient is φ = 71368704.

The previous prime is 206010053. The next prime is 206010089. The reversal of 206010080 is 80010602.

206010080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206010089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2314676 + ... + 2314764.

It is an arithmetic number, because the mean of its divisors is an integer number (2908710).

Almost surely, 2^206010080 is an apocalyptic number.

206010080 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 206010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279236160).

206010080 is an abundant number, since it is smaller than the sum of its proper divisors (352462240).

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

206010080 is a wasteful number, since it uses less digits than its factorization.

206010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 206010080 is about 14353.0512435510. The cubic root of 206010080 is about 590.6036911958.

Adding to 206010080 its reverse (80010602), we get a palindrome (286020682).

The spelling of 206010080 in words is "two hundred six million, ten thousand, eighty".