206675820 has 192 divisors, whose sum is σ = 705600000. Its totient is φ = 49911552.

The previous prime is 206675813. The next prime is 206675827. The reversal of 206675820 is 28576602.

206675820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206675813) and next prime (206675827).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206675827) 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, 413931 + ... + 414429.

It is an arithmetic number, because the mean of its divisors is an integer number (3675000).

Almost surely, 2^206675820 is an apocalyptic number.

206675820 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 206675820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800000).

206675820 is an abundant number, since it is smaller than the sum of its proper divisors (498924180).

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

206675820 is a wasteful number, since it uses less digits than its factorization.

206675820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 206675820 is about 14376.2241217922. The cubic root of 206675820 is about 591.2392033333.

The spelling of 206675820 in words is "two hundred six million, six hundred seventy-five thousand, eight hundred twenty".