206364672 has 140 divisors (see below), whose sum is σ = 618491016. Its totient is φ = 68567040.

The previous prime is 206364661. The next prime is 206364673. The reversal of 206364672 is 276463602.

It is a happy number.

206364672 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 646 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206364673) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663397 + ... + 663707.

Almost surely, 2^206364672 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 206364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309245508).

206364672 is an abundant number, since it is smaller than the sum of its proper divisors (412126344).

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

206364672 is an frugal number, since it uses more digits than its factorization.

206364672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 206364672 is about 14365.3984281676. The cubic root of 206364672 is about 590.9423531085.

The spelling of 206364672 in words is "two hundred six million, three hundred sixty-four thousand, six hundred seventy-two".