206428960 has 96 divisors (see below), whose sum is σ = 534386160. Its totient is φ = 75005952.

The previous prime is 206428927. The next prime is 206428991. The reversal of 206428960 is 69824602.

It can be written as a sum of positive squares in 8 ways, for example, as 177742224 + 28686736 = 13332^2 + 5356^2 .

It is a super-2 number, since 2×206428960² = 85225831053363200, which contains 22 as substring.

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, 77572 + ... + 80188.

Almost surely, 2^206428960 is an apocalyptic number.

206428960 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 206428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267193080).

206428960 is an abundant number, since it is smaller than the sum of its proper divisors (327957200).

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

206428960 is a wasteful number, since it uses less digits than its factorization.

206428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 206428960 is about 14367.6358528465. The cubic root of 206428960 is about 591.0037114106.

The spelling of 206428960 in words is "two hundred six million, four hundred twenty-eight thousand, nine hundred sixty".