206007040 has 72 divisors (see below), whose sum is σ = 496324080. Its totient is φ = 81924096.

The previous prime is 206006963. The next prime is 206007073. The reversal of 206007040 is 40700602.

It is a junction number, because it is equal to n+sod(n) for n = 206006999 and 206007017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290206 + ... + 290914.

It is an arithmetic number, because the mean of its divisors is an integer number (6893390).

Almost surely, 2^206007040 is an apocalyptic number.

206007040 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 206007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248162040).

206007040 is an abundant number, since it is smaller than the sum of its proper divisors (290317040).

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

206007040 is an equidigital number, since it uses as much as digits as its factorization.

206007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 206007040 is about 14352.9453423331. The cubic root of 206007040 is about 590.6007860887.

Adding to 206007040 its reverse (40700602), we get a palindrome (246707642).

The spelling of 206007040 in words is "two hundred six million, seven thousand, forty".