206308608660 has 576 divisors, whose sum is σ = 828000036864. Its totient is φ = 41869094400.

The previous prime is 206308608589. The next prime is 206308608731. The reversal of 206308608660 is 66806803602.

206308608660 is a `hidden beast` number, since 2 + 0 + 6 + 30 + 8 + 608 + 6 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206308608589) and next prime (206308608731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16085050 + ... + 16097870.

It is an arithmetic number, because the mean of its divisors is an integer number (1437500064).

Almost surely, 2^206308608660 is an apocalyptic number.

206308608660 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 206308608660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414000018432).

206308608660 is an abundant number, since it is smaller than the sum of its proper divisors (621691428204).

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

206308608660 is a wasteful number, since it uses less digits than its factorization.

206308608660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12906 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 206308608660 in words is "two hundred six billion, three hundred eight million, six hundred eight thousand, six hundred sixty".