206542336 has 240 divisors, whose sum is σ = 575106048. Its totient is φ = 71884800.

The previous prime is 206542327. The next prime is 206542361. The reversal of 206542336 is 633245602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 206542298 and 206542307.

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 23 ways as a sum of consecutive naturals, for example, 6662641 + ... + 6662671.

Almost surely, 2^206542336 is an apocalyptic number.

206542336 is a gapful number since it is divisible by the number (26) 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 206542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287553024).

206542336 is an abundant number, since it is smaller than the sum of its proper divisors (368563712).

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

206542336 is a wasteful number, since it uses less digits than its factorization.

206542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 206542336 is about 14371.5808455437. The cubic root of 206542336 is about 591.1118896647. Note that the first 3 decimals are identical.

Adding to 206542336 its reverse (633245602), we get a palindrome (839787938).

The spelling of 206542336 in words is "two hundred six million, five hundred forty-two thousand, three hundred thirty-six".