206286048 has 96 divisors (see below), whose sum is σ = 622490400. Its totient is φ = 66382848.

The previous prime is 206286043. The next prime is 206286071. The reversal of 206286048 is 840682602.

206286048 is a `hidden beast` number, since 20 + 6 + 28 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206286043) by changing a digit.

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, 20940 + ... + 29172.

It is an arithmetic number, because the mean of its divisors is an integer number (6484275).

Almost surely, 2^206286048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311245200).

206286048 is an abundant number, since it is smaller than the sum of its proper divisors (416204352).

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

206286048 is a wasteful number, since it uses less digits than its factorization.

206286048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206286048 is about 14362.6615917803. The cubic root of 206286048 is about 590.8672947938.

The spelling of 206286048 in words is "two hundred six million, two hundred eighty-six thousand, forty-eight".