206411680 has 96 divisors (see below), whose sum is σ = 503849808. Its totient is φ = 79872000.

The previous prime is 206411659. The next prime is 206411701. The reversal of 206411680 is 86114602.

It is an interprime number because it is at equal distance from previous prime (206411659) and next prime (206411701).

It can be written as a sum of positive squares in 8 ways, for example, as 186377104 + 20034576 = 13652^2 + 4476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856360 + ... + 856600.

Almost surely, 2^206411680 is an apocalyptic number.

206411680 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 206411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251924904).

206411680 is an abundant number, since it is smaller than the sum of its proper divisors (297438128).

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

206411680 is a wasteful number, since it uses less digits than its factorization.

206411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 206411680 is about 14367.0344887176. The cubic root of 206411680 is about 590.9872201374.

The spelling of 206411680 in words is "two hundred six million, four hundred eleven thousand, six hundred eighty".