206122080 has 96 divisors (see below), whose sum is σ = 653184000. Its totient is φ = 54636032.

The previous prime is 206122031. The next prime is 206122151. The reversal of 206122080 is 80221602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84721 + ... + 87119.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2^206122080 is an apocalyptic number.

206122080 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 206122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

206122080 is an abundant number, since it is smaller than the sum of its proper divisors (447061920).

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

206122080 is a wasteful number, since it uses less digits than its factorization.

206122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 206122080 is about 14356.9523228295. The cubic root of 206122080 is about 590.7107015416.

Adding to 206122080 its reverse (80221602), we get a palindrome (286343682).

The spelling of 206122080 in words is "two hundred six million, one hundred twenty-two thousand, eighty".