206424132 has 72 divisors (see below), whose sum is σ = 538435296. Its totient is φ = 61330176.

The previous prime is 206424109. The next prime is 206424143. The reversal of 206424132 is 231424602.

It is a super-2 number, since 2×206424132² = 85221844543906848, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 72243 + ... + 75045.

It is an arithmetic number, because the mean of its divisors is an integer number (7478268).

Almost surely, 2^206424132 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 206424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269217648).

206424132 is an abundant number, since it is smaller than the sum of its proper divisors (332011164).

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

206424132 is a wasteful number, since it uses less digits than its factorization.

206424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 206424132 is about 14367.4678353564. The cubic root of 206424132 is about 590.9991038720. Note that the first 3 decimals are identical.

Adding to 206424132 its reverse (231424602), we get a palindrome (437848734).

The spelling of 206424132 in words is "two hundred six million, four hundred twenty-four thousand, one hundred thirty-two".