206612064 has 72 divisors (see below), whose sum is σ = 593453952. Its totient is φ = 68179200.

The previous prime is 206612057. The next prime is 206612069. The reversal of 206612064 is 460216602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206612069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25537 + ... + 32639.

It is an arithmetic number, because the mean of its divisors is an integer number (8242416).

Almost surely, 2^206612064 is an apocalyptic number.

206612064 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 206612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296726976).

206612064 is an abundant number, since it is smaller than the sum of its proper divisors (386841888).

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

206612064 is a wasteful number, since it uses less digits than its factorization.

206612064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206612064 is about 14374.0065395839. The cubic root of 206612064 is about 591.1784013111.

Adding to 206612064 its reverse (460216602), we get a palindrome (666828666).

The spelling of 206612064 in words is "two hundred six million, six hundred twelve thousand, sixty-four".