205320024 has 96 divisors (see below), whose sum is σ = 684421920. Its totient is φ = 54148608.

The previous prime is 205320007. The next prime is 205320077. The reversal of 205320024 is 420023502.

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 = 205319979 and 205320006.

It is a congruent number.

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, 9117 + ... + 22220.

It is an arithmetic number, because the mean of its divisors is an integer number (7129395).

Almost surely, 2^205320024 is an apocalyptic number.

205320024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205320024 is an abundant number, since it is smaller than the sum of its proper divisors (479101896).

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

205320024 is a wasteful number, since it uses less digits than its factorization.

205320024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31369 (or 31362 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205320024 is about 14328.9924279413. The cubic root of 205320024 is about 589.9435204002.

Adding to 205320024 its reverse (420023502), we get a palindrome (625343526).

The spelling of 205320024 in words is "two hundred five million, three hundred twenty thousand, twenty-four".