206404080 has 80 divisors (see below), whose sum is σ = 641283360. Its totient is φ = 54918144.

The previous prime is 206404073. The next prime is 206404109. The reversal of 206404080 is 80404602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 206404080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169554 + ... + 170766.

It is an arithmetic number, because the mean of its divisors is an integer number (8016042).

Almost surely, 2^206404080 is an apocalyptic number.

206404080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320641680).

206404080 is an abundant number, since it is smaller than the sum of its proper divisors (434879280).

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

206404080 is a wasteful number, since it uses less digits than its factorization.

206404080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 206404080 is about 14366.7699918945. The cubic root of 206404080 is about 590.9799667397.

Adding to 206404080 its reverse (80404602), we get a palindrome (286808682).

The spelling of 206404080 in words is "two hundred six million, four hundred four thousand, eighty".