206904672 has 192 divisors, whose sum is σ = 659736000. Its totient is φ = 63078912.

The previous prime is 206904667. The next prime is 206904679. The reversal of 206904672 is 276409602.

It is a happy number.

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 (206904679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1898154 + ... + 1898262.

It is an arithmetic number, because the mean of its divisors is an integer number (3436125).

Almost surely, 2^206904672 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 206904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329868000).

206904672 is an abundant number, since it is smaller than the sum of its proper divisors (452831328).

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

206904672 is a wasteful number, since it uses less digits than its factorization.

206904672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 206904672 is about 14384.1813114268. The cubic root of 206904672 is about 591.4573490963.

The spelling of 206904672 in words is "two hundred six million, nine hundred four thousand, six hundred seventy-two".