206816832 has 84 divisors (see below), whose sum is σ = 627703596. Its totient is φ = 64880640.

The previous prime is 206816809. The next prime is 206816839. The reversal of 206816832 is 238618602.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 50466816 = 12504^2 + 7104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (206816839) 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 11 ways as a sum of consecutive naturals, for example, 769 + ... + 20352.

Almost surely, 2^206816832 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 206816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313851798).

206816832 is an abundant number, since it is smaller than the sum of its proper divisors (420886764).

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

206816832 is a wasteful number, since it uses less digits than its factorization.

206816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21156 (or 21143 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 206816832 is about 14381.1276331170. The cubic root of 206816832 is about 591.3736374898.

The spelling of 206816832 in words is "two hundred six million, eight hundred sixteen thousand, eight hundred thirty-two".