205027020 has 72 divisors (see below), whose sum is σ = 678459600. Its totient is φ = 49703040.

The previous prime is 205027003. The next prime is 205027063. The reversal of 205027020 is 20720502.

It is a happy number.

205027020 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 205026984 and 205027002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49795 + ... + 53754.

It is an arithmetic number, because the mean of its divisors is an integer number (9423050).

Almost surely, 2^205027020 is an apocalyptic number.

205027020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205027020 is an abundant number, since it is smaller than the sum of its proper divisors (473432580).

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

205027020 is a wasteful number, since it uses less digits than its factorization.

205027020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103575 (or 103570 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205027020 is about 14318.7646115159. The cubic root of 205027020 is about 589.6627585302.

Adding to 205027020 its reverse (20720502), we get a palindrome (225747522).

The spelling of 205027020 in words is "two hundred five million, twenty-seven thousand, twenty".