206298820 has 72 divisors (see below), whose sum is σ = 542758104. Its totient is φ = 65286144.

The previous prime is 206298817. The next prime is 206298871. The reversal of 206298820 is 28892602.

It can be written as a sum of positive squares in 4 ways, for example, as 40043584 + 166255236 = 6328^2 + 12894^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 206298820.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4644 + ... + 20836.

It is an arithmetic number, because the mean of its divisors is an integer number (7538307).

Almost surely, 2^206298820 is an apocalyptic number.

206298820 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 206298820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271379052).

206298820 is an abundant number, since it is smaller than the sum of its proper divisors (336459284).

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

206298820 is a wasteful number, since it uses less digits than its factorization.

206298820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16220 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 206298820 is about 14363.1062100090. The cubic root of 206298820 is about 590.8794888667.

The spelling of 206298820 in words is "two hundred six million, two hundred ninety-eight thousand, eight hundred twenty".