205543040 has 64 divisors (see below), whose sum is σ = 493351560. Its totient is φ = 81887232.

The previous prime is 205543033. The next prime is 205543043. The reversal of 205543040 is 40345502.

It can be written as a sum of positive squares in 4 ways, for example, as 135117376 + 70425664 = 11624^2 + 8392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 205542997 and 205543015.

It is not an unprimeable number, because it can be changed into a prime (205543043) 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, 215204 + ... + 216156.

Almost surely, 2^205543040 is an apocalyptic number.

205543040 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 205543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246675780).

205543040 is an abundant number, since it is smaller than the sum of its proper divisors (287808520).

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

205543040 is an equidigital number, since it uses as much as digits as its factorization.

205543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 205543040 is about 14336.7723006261. The cubic root of 205543040 is about 590.1570394958.

Adding to 205543040 its reverse (40345502), we get a palindrome (245888542).

The spelling of 205543040 in words is "two hundred five million, five hundred forty-three thousand, forty".