205783040 has 76 divisors (see below), whose sum is σ = 497024076. Its totient is φ = 81788928.

The previous prime is 205783027. The next prime is 205783049. The reversal of 205783040 is 40387502.

It is a happy number.

205783040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 67108864 + 138674176 = 8192^2 + 11776^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 205782994 and 205783012.

It is not an unprimeable number, because it can be changed into a prime (205783049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310642 + ... + 1310798.

Almost surely, 2^205783040 is an apocalyptic number.

205783040 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 205783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248512038).

205783040 is an abundant number, since it is smaller than the sum of its proper divisors (291241036).

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

205783040 is an frugal number, since it uses more digits than its factorization.

205783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 205783040 is about 14345.1399435488. The cubic root of 205783040 is about 590.3866468779.

The spelling of 205783040 in words is "two hundred five million, seven hundred eighty-three thousand, forty".