206540880 has 320 divisors, whose sum is σ = 808281600. Its totient is φ = 43352064.

The previous prime is 206540869. The next prime is 206540881. The reversal of 206540880 is 88045602.

It is a super-2 number, since 2×206540880² = 85318270222348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206540881) 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 63 ways as a sum of consecutive naturals, for example, 1070064 + ... + 1070256.

It is an arithmetic number, because the mean of its divisors is an integer number (2525880).

Almost surely, 2^206540880 is an apocalyptic number.

206540880 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 206540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404140800).

206540880 is an abundant number, since it is smaller than the sum of its proper divisors (601740720).

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

206540880 is a wasteful number, since it uses less digits than its factorization.

206540880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 206540880 is about 14371.5301899276. The cubic root of 206540880 is about 591.1105006662.

The spelling of 206540880 in words is "two hundred six million, five hundred forty thousand, eight hundred eighty".