205736740 has 24 divisors (see below), whose sum is σ = 471324672. Its totient is φ = 74813280.

The previous prime is 205736723. The next prime is 205736749. The reversal of 205736740 is 47637502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205736696 and 205736705.

It is not an unprimeable number, because it can be changed into a prime (205736749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467364 + ... + 467803.

It is an arithmetic number, because the mean of its divisors is an integer number (19638528).

Almost surely, 2^205736740 is an apocalyptic number.

205736740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205736740 is an abundant number, since it is smaller than the sum of its proper divisors (265587932).

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

205736740 is a wasteful number, since it uses less digits than its factorization.

205736740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935187 (or 935185 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 205736740 is about 14343.5260657901. The cubic root of 205736740 is about 590.3423656905.

The spelling of 205736740 in words is "two hundred five million, seven hundred thirty-six thousand, seven hundred forty".