206402020 has 48 divisors (see below), whose sum is σ = 475046208. Its totient is φ = 74706560.

The previous prime is 206402017. The next prime is 206402057. The reversal of 206402020 is 20204602.

206402020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206401985 and 206402003.

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, 47874 + ... + 52006.

It is an arithmetic number, because the mean of its divisors is an integer number (9896796).

Almost surely, 2^206402020 is an apocalyptic number.

206402020 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 206402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237523104).

206402020 is an abundant number, since it is smaller than the sum of its proper divisors (268644188).

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

206402020 is a wasteful number, since it uses less digits than its factorization.

206402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 206402020 is about 14366.6982984957. The cubic root of 206402020 is about 590.9780006565.

Adding to 206402020 its reverse (20204602), we get a palindrome (226606622).

The spelling of 206402020 in words is "two hundred six million, four hundred two thousand, twenty".