206626560 has 144 divisors (see below), whose sum is σ = 754285056. Its totient is φ = 47222784.

The previous prime is 206626559. The next prime is 206626561. The reversal of 206626560 is 65626602.

It is an interprime number because it is at equal distance from previous prime (206626559) and next prime (206626561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206626561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23037 + ... + 30723.

Almost surely, 2^206626560 is an apocalyptic number.

206626560 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 206626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377142528).

206626560 is an abundant number, since it is smaller than the sum of its proper divisors (547658496).

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

206626560 is an equidigital number, since it uses as much as digits as its factorization.

206626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 206626560 is about 14374.5107742838. The cubic root of 206626560 is about 591.1922267730.

The spelling of 206626560 in words is "two hundred six million, six hundred twenty-six thousand, five hundred sixty".