206002420 has 24 divisors (see below), whose sum is σ = 465882984. Its totient is φ = 76062336.

The previous prime is 206002403. The next prime is 206002439. The reversal of 206002420 is 24200602.

206002420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 194993296 = 3318^2 + 13964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206002394 and 206002403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395899 + ... + 396418.

It is an arithmetic number, because the mean of its divisors is an integer number (19411791).

Almost surely, 2^206002420 is an apocalyptic number.

206002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206002420 is an abundant number, since it is smaller than the sum of its proper divisors (259880564).

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

206002420 is a wasteful number, since it uses less digits than its factorization.

206002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792339 (or 792337 counting only the distinct ones).

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

The square root of 206002420 is about 14352.7843988545. The cubic root of 206002420 is about 590.5963710356.

The spelling of 206002420 in words is "two hundred six million, two thousand, four hundred twenty".