206308960 has 192 divisors, whose sum is σ = 585252864. Its totient is φ = 67737600.

The previous prime is 206308951. The next prime is 206308967. The reversal of 206308960 is 69803602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206308967) 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, 1624417 + ... + 1624543.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192).

Almost surely, 2^206308960 is an apocalyptic number.

206308960 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 206308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

206308960 is an abundant number, since it is smaller than the sum of its proper divisors (378943904).

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

206308960 is a wasteful number, since it uses less digits than its factorization.

206308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 206308960 is about 14363.4591933837. The cubic root of 206308960 is about 590.8891696781.

The spelling of 206308960 in words is "two hundred six million, three hundred eight thousand, nine hundred sixty".