206007648 has 288 divisors, whose sum is σ = 720679680. Its totient is φ = 49996800.

The previous prime is 206007569. The next prime is 206007673. The reversal of 206007648 is 846700602.

206007648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 6645393 + ... + 6645423.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 2^206007648 is an apocalyptic number.

206007648 is a gapful number since it is divisible by the number (28) 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 206007648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360339840).

206007648 is an abundant number, since it is smaller than the sum of its proper divisors (514672032).

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

206007648 is a wasteful number, since it uses less digits than its factorization.

206007648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 206007648 is about 14352.9665226391. The cubic root of 206007648 is about 590.6013671124.

The spelling of 206007648 in words is "two hundred six million, seven thousand, six hundred forty-eight".