206588340 has 384 divisors, whose sum is σ = 794787840. Its totient is φ = 43545600.

The previous prime is 206588243. The next prime is 206588377. The reversal of 206588340 is 43885602.

206588340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

206588340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 206588295 and 206588304.

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 127 ways as a sum of consecutive naturals, for example, 4804359 + ... + 4804401.

It is an arithmetic number, because the mean of its divisors is an integer number (2069760).

Almost surely, 2^206588340 is an apocalyptic number.

206588340 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 206588340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397393920).

206588340 is an abundant number, since it is smaller than the sum of its proper divisors (588199500).

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

206588340 is a wasteful number, since it uses less digits than its factorization.

206588340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 206588340 is about 14373.1812762520. The cubic root of 206588340 is about 591.1557733113.

The spelling of 206588340 in words is "two hundred six million, five hundred eighty-eight thousand, three hundred forty".