206536960 has 216 divisors, whose sum is σ = 597686040. Its totient is φ = 68124672.

The previous prime is 206536949. The next prime is 206536969. The reversal of 206536960 is 69635602.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 177635584 = 5376^2 + 13328^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206536969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320596 + ... + 2320684.

It is an arithmetic number, because the mean of its divisors is an integer number (2767065).

Almost surely, 2^206536960 is an apocalyptic number.

206536960 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 206536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298843020).

206536960 is an abundant number, since it is smaller than the sum of its proper divisors (391149080).

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

206536960 is an equidigital number, since it uses as much as digits as its factorization.

206536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 206536960 is about 14371.3938085351. The cubic root of 206536960 is about 591.1067610227.

It can be divided in two parts, 206 and 536960, that added together give a triangular number (537166 = T₁₀₃₆).

The spelling of 206536960 in words is "two hundred six million, five hundred thirty-six thousand, nine hundred sixty".