205927040 has 64 divisors (see below), whose sum is σ = 537066720. Its totient is φ = 74880000.

The previous prime is 205927021. The next prime is 205927049. The reversal of 205927040 is 40729502.

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 = 205926994 and 205927012.

It is not an unprimeable number, because it can be changed into a prime (205927049) 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, 7586 + ... + 21665.

Almost surely, 2^205927040 is an apocalyptic number.

205927040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205927040 is an abundant number, since it is smaller than the sum of its proper divisors (331139680).

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

205927040 is a wasteful number, since it uses less digits than its factorization.

205927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29281 (or 29269 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 205927040 is about 14350.1581872814. The cubic root of 205927040 is about 590.5243256269.

The spelling of 205927040 in words is "two hundred five million, nine hundred twenty-seven thousand, forty".