205532320 has 48 divisors (see below), whose sum is σ = 554940288. Its totient is φ = 70467840.

The previous prime is 205532317. The next prime is 205532321. The reversal of 205532320 is 23235502.

It is a junction number, because it is equal to n+sod(n) for n = 205532291 and 205532300.

It is not an unprimeable number, because it can be changed into a prime (205532321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90636 + ... + 92875.

It is an arithmetic number, because the mean of its divisors is an integer number (11561256).

Almost surely, 2^205532320 is an apocalyptic number.

205532320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205532320 is an abundant number, since it is smaller than the sum of its proper divisors (349407968).

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

205532320 is a wasteful number, since it uses less digits than its factorization.

205532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183533 (or 183525 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 205532320 is about 14336.3984319633. The cubic root of 205532320 is about 590.1467795304.

Adding to 205532320 its reverse (23235502), we get a palindrome (228767822).

The spelling of 205532320 in words is "two hundred five million, five hundred thirty-two thousand, three hundred twenty".