206882016 has 96 divisors (see below), whose sum is σ = 595123200. Its totient is φ = 62407680.

The previous prime is 206881999. The next prime is 206882017. The reversal of 206882016 is 610288602.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206882017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431665 + ... + 432143.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2^206882016 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 206882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

206882016 is an abundant number, since it is smaller than the sum of its proper divisors (388241184).

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

206882016 is a wasteful number, since it uses less digits than its factorization.

206882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 206882016 is about 14383.3937580809. The cubic root of 206882016 is about 591.4357601737.

The spelling of 206882016 in words is "two hundred six million, eight hundred eighty-two thousand, sixteen".