206424144 has 90 divisors (see below), whose sum is σ = 587900430. Its totient is φ = 67613184.

The previous prime is 206424143. The next prime is 206424161. The reversal of 206424144 is 441424602.

It is a happy number.

206424144 is a `hidden beast` number, since 2 + 0 + 642 + 4 + 14 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7952400 + 198471744 = 2820^2 + 14088^2 .

It is a super-3 number, since 3×206424144³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206424143) 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 17 ways as a sum of consecutive naturals, for example, 767242 + ... + 767510.

It is an arithmetic number, because the mean of its divisors is an integer number (6532227).

Almost surely, 2^206424144 is an apocalyptic number.

206424144 is a gapful number since it is divisible by the number (24) 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 206424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293950215).

206424144 is an abundant number, since it is smaller than the sum of its proper divisors (381476286).

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

206424144 is a wasteful number, since it uses less digits than its factorization.

206424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 206424144 is about 14367.4682529665. The cubic root of 206424144 is about 590.9991153242. Note that the first 3 decimals are identical.

Adding to 206424144 its reverse (441424602), we get a palindrome (647848746).

The spelling of 206424144 in words is "two hundred six million, four hundred twenty-four thousand, one hundred forty-four".