206628300 has 144 divisors (see below), whose sum is σ = 671623680. Its totient is φ = 54492480.

The previous prime is 206628293. The next prime is 206628329. The reversal of 206628300 is 3826602.

206628300 is a `hidden beast` number, since 2 + 0 + 6 + 628 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 277729 + ... + 278471.

Almost surely, 2^206628300 is an apocalyptic number.

206628300 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 206628300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335811840).

206628300 is an abundant number, since it is smaller than the sum of its proper divisors (464995380).

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

206628300 is a wasteful number, since it uses less digits than its factorization.

206628300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206628300 is about 14374.5712979553. The cubic root of 206628300 is about 591.1938862428.

The spelling of 206628300 in words is "two hundred six million, six hundred twenty-eight thousand, three hundred".