205570120 has 128 divisors (see below), whose sum is σ = 589420800. Its totient is φ = 62816256.

The previous prime is 205570111. The next prime is 205570129. The reversal of 205570120 is 21075502.

It is an interprime number because it is at equal distance from previous prime (205570111) and next prime (205570129).

It is a junction number, because it is equal to n+sod(n) for n = 205570091 and 205570100.

It is not an unprimeable number, because it can be changed into a prime (205570129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89304 + ... + 91576.

It is an arithmetic number, because the mean of its divisors is an integer number (4604850).

Almost surely, 2^205570120 is an apocalyptic number.

205570120 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 205570120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294710400).

205570120 is an abundant number, since it is smaller than the sum of its proper divisors (383850680).

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

205570120 is a wasteful number, since it uses less digits than its factorization.

205570120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 205570120 is about 14337.7166940905. The cubic root of 205570120 is about 590.1829558048.

The spelling of 205570120 in words is "two hundred five million, five hundred seventy thousand, one hundred twenty".