206904096 has 144 divisors (see below), whose sum is σ = 695822400. Its totient is φ = 57060864.

The previous prime is 206904079. The next prime is 206904097. The reversal of 206904096 is 690409602.

206904096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 206904096.

It is not an unprimeable number, because it can be changed into a prime (206904097) 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 23 ways as a sum of consecutive naturals, for example, 56695 + ... + 60233.

It is an arithmetic number, because the mean of its divisors is an integer number (4832100).

Almost surely, 2^206904096 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 206904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347911200).

206904096 is an abundant number, since it is smaller than the sum of its proper divisors (488918304).

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

206904096 is a wasteful number, since it uses less digits than its factorization.

206904096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 206904096 is about 14384.1612894183. The cubic root of 206904096 is about 591.4568002449.

The spelling of 206904096 in words is "two hundred six million, nine hundred four thousand, ninety-six".