206340000 has 240 divisors, whose sum is σ = 716395680. Its totient is φ = 51840000.

The previous prime is 206339953. The next prime is 206340007. The reversal of 206340000 is 43602.

206340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (206340007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139910 + ... + 1140090.

It is an arithmetic number, because the mean of its divisors is an integer number (2984982).

Almost surely, 2^206340000 is an apocalyptic number.

206340000 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 206340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358197840).

206340000 is an abundant number, since it is smaller than the sum of its proper divisors (510055680).

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

206340000 is a wasteful number, since it uses less digits than its factorization.

206340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 206340000 is about 14364.5396724016. The cubic root of 206340000 is about 590.9188020638.

Adding to 206340000 its reverse (43602), we get a palindrome (206383602).

The spelling of 206340000 in words is "two hundred six million, three hundred forty thousand".