205524020 has 48 divisors (see below), whose sum is σ = 466013520. Its totient is φ = 75687936.

The previous prime is 205524001. The next prime is 205524049. The reversal of 205524020 is 20425502.

It can be written as a sum of positive squares in 8 ways, for example, as 21270544 + 184253476 = 4612^2 + 13574^2 .

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 = 205523983 and 205524001.

It is a congruent number.

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, 131564 + ... + 133116.

It is an arithmetic number, because the mean of its divisors is an integer number (9708615).

Almost surely, 2^205524020 is an apocalyptic number.

205524020 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 205524020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233006760).

205524020 is an abundant number, since it is smaller than the sum of its proper divisors (260489500).

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

205524020 is a wasteful number, since it uses less digits than its factorization.

205524020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 205524020 is about 14336.1089560592. The cubic root of 205524020 is about 590.1388354688.

Adding to 205524020 its reverse (20425502), we get a palindrome (225949522).

The spelling of 205524020 in words is "two hundred five million, five hundred twenty-four thousand, twenty".