206004120 has 128 divisors (see below), whose sum is σ = 713456640. Its totient is φ = 46609920.

The previous prime is 206004109. The next prime is 206004121. The reversal of 206004120 is 21400602.

206004120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 206004120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206004121) 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, 85330 + ... + 87710.

It is an arithmetic number, because the mean of its divisors is an integer number (5573880).

Almost surely, 2^206004120 is an apocalyptic number.

206004120 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 206004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356728320).

206004120 is an abundant number, since it is smaller than the sum of its proper divisors (507452520).

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

206004120 is a wasteful number, since it uses less digits than its factorization.

206004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 206004120 is about 14352.8436206906. The cubic root of 206004120 is about 590.5979956299.

Adding to 206004120 its reverse (21400602), we get a palindrome (227404722).

The spelling of 206004120 in words is "two hundred six million, four thousand, one hundred twenty".