206545664 has 72 divisors (see below), whose sum is σ = 452762352. Its totient is φ = 93450240.

The previous prime is 206545663. The next prime is 206545667. The reversal of 206545664 is 466545602.

It is a super-2 number, since 2×206545664² = 85322222634401792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (206545663) 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 7 ways as a sum of consecutive naturals, for example, 175799 + ... + 176969.

It is an arithmetic number, because the mean of its divisors is an integer number (6288366).

Almost surely, 2^206545664 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 206545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226381176).

206545664 is an abundant number, since it is smaller than the sum of its proper divisors (246216688).

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

206545664 is a wasteful number, since it uses less digits than its factorization.

206545664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 206545664 is about 14371.6966291388. The cubic root of 206545664 is about 591.1150644937.

The spelling of 206545664 in words is "two hundred six million, five hundred forty-five thousand, six hundred sixty-four".