206512020 has 288 divisors, whose sum is σ = 752903424. Its totient is φ = 45158400.

The previous prime is 206511961. The next prime is 206512043. The reversal of 206512020 is 20215602.

It is a super-3 number, since 3×206512020³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206511984 and 206512002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827484 + ... + 1827596.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^206512020 is an apocalyptic number.

206512020 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 206512020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376451712).

206512020 is an abundant number, since it is smaller than the sum of its proper divisors (546391404).

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

206512020 is a wasteful number, since it uses less digits than its factorization.

206512020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 206512020 is about 14370.5260864034. The cubic root of 206512020 is about 591.0829673862.

Adding to 206512020 its reverse (20215602), we get a palindrome (226727622).

The spelling of 206512020 in words is "two hundred six million, five hundred twelve thousand, twenty".