205325120 has 224 divisors, whose sum is σ = 657490176. Its totient is φ = 58982400.

The previous prime is 205325083. The next prime is 205325147. The reversal of 205325120 is 21523502.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205325092 and 205325101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320000 + ... + 320640.

It is an arithmetic number, because the mean of its divisors is an integer number (2935224).

Almost surely, 2^205325120 is an apocalyptic number.

205325120 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 205325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328745088).

205325120 is an abundant number, since it is smaller than the sum of its proper divisors (452165056).

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

205325120 is a wasteful number, since it uses less digits than its factorization.

205325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205325120 is about 14329.1702481337. The cubic root of 205325120 is about 589.9484011181.

Adding to 205325120 its reverse (21523502), we get a palindrome (226848622).

It can be divided in two parts, 20532 and 5120, that added together give a palindrome (25652).

The spelling of 205325120 in words is "two hundred five million, three hundred twenty-five thousand, one hundred twenty".