206144064 has 336 divisors, whose sum is σ = 732251520. Its totient is φ = 54190080.

The previous prime is 206144063. The next prime is 206144119. The reversal of 206144064 is 460441602.

206144064 is a `hidden beast` number, since 2 + 0 + 614 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (206144063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4794027 + ... + 4794069.

It is an arithmetic number, because the mean of its divisors is an integer number (2179320).

Almost surely, 2^206144064 is an apocalyptic number.

206144064 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 206144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366125760).

206144064 is an abundant number, since it is smaller than the sum of its proper divisors (526107456).

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

206144064 is a wasteful number, since it uses less digits than its factorization.

206144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206144064 is about 14357.7179245171. The cubic root of 206144064 is about 590.7317015923.

Adding to 206144064 its reverse (460441602), we get a palindrome (666585666).

The spelling of 206144064 in words is "two hundred six million, one hundred forty-four thousand, sixty-four".