206140320 has 288 divisors, whose sum is σ = 746181072. Its totient is φ = 51757056.

The previous prime is 206140303. The next prime is 206140321. The reversal of 206140320 is 23041602.

It is a happy number.

206140320 is a `hidden beast` number, since 20 + 614 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 162103824 + 44036496 = 12732^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 206140293 and 206140302.

It is not an unprimeable number, because it can be changed into a prime (206140321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823804 + ... + 2823876.

Almost surely, 2^206140320 is an apocalyptic number.

206140320 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 206140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373090536).

206140320 is an abundant number, since it is smaller than the sum of its proper divisors (540040752).

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

206140320 is a wasteful number, since it uses less digits than its factorization.

206140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206140320 is about 14357.5875410878. The cubic root of 206140320 is about 590.7281252700.

Adding to 206140320 its reverse (23041602), we get a palindrome (229181922).

The spelling of 206140320 in words is "two hundred six million, one hundred forty thousand, three hundred twenty".