206138560 has 112 divisors (see below), whose sum is σ = 511771392. Its totient is φ = 79027200.

The previous prime is 206138531. The next prime is 206138573. The reversal of 206138560 is 65831602.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 976855 + ... + 977065.

Almost surely, 2^206138560 is an apocalyptic number.

206138560 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 206138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255885696).

206138560 is an abundant number, since it is smaller than the sum of its proper divisors (305632832).

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

206138560 is a wasteful number, since it uses less digits than its factorization.

206138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 206138560 is about 14357.5262493230. The cubic root of 206138560 is about 590.7264440778.

The spelling of 206138560 in words is "two hundred six million, one hundred thirty-eight thousand, five hundred sixty".