206146080 has 384 divisors, whose sum is σ = 875266560. Its totient is φ = 44236800.

The previous prime is 206146043. The next prime is 206146081. The reversal of 206146080 is 80641602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (206146081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513880 + ... + 514280.

It is an arithmetic number, because the mean of its divisors is an integer number (2279340).

Almost surely, 2^206146080 is an apocalyptic number.

206146080 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 206146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437633280).

206146080 is an abundant number, since it is smaller than the sum of its proper divisors (669120480).

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

206146080 is a wasteful number, since it uses less digits than its factorization.

206146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 206146080 is about 14357.7881304886. The cubic root of 206146080 is about 590.7336272864.

Adding to 206146080 its reverse (80641602), we get a palindrome (286787682).

The spelling of 206146080 in words is "two hundred six million, one hundred forty-six thousand, eighty".