206397664 has 48 divisors (see below), whose sum is σ = 447294960. Its totient is φ = 92968960.

The previous prime is 206397661. The next prime is 206397671. The reversal of 206397664 is 466793602.

It is a self number, because there is not a number n which added to its sum of digits gives 206397664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206397661) 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, 37182 + ... + 42370.

It is an arithmetic number, because the mean of its divisors is an integer number (9318645).

Almost surely, 2^206397664 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 206397664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223647480).

206397664 is an abundant number, since it is smaller than the sum of its proper divisors (240897296).

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

206397664 is a wasteful number, since it uses less digits than its factorization.

206397664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 206397664 is about 14366.5466971016. The cubic root of 206397664 is about 590.9738432064.

The spelling of 206397664 in words is "two hundred six million, three hundred ninety-seven thousand, six hundred sixty-four".