206084032 has 224 divisors, whose sum is σ = 561807360. Its totient is φ = 72576000.

The previous prime is 206084023. The next prime is 206084059. The reversal of 206084032 is 230480602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 206083988 and 206084006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2902557 + ... + 2902627.

Almost surely, 2^206084032 is an apocalyptic number.

206084032 is a gapful number since it is divisible by the number (22) 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 206084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280903680).

206084032 is an abundant number, since it is smaller than the sum of its proper divisors (355723328).

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

206084032 is a wasteful number, since it uses less digits than its factorization.

206084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 206084032 is about 14355.6271893638. The cubic root of 206084032 is about 590.6743529469.

The spelling of 206084032 in words is "two hundred six million, eighty-four thousand, thirty-two".