1605207040 has 44 divisors (see below), whose sum is σ = 3850628076. Its totient is φ = 642080768.

The previous prime is 1605207029. The next prime is 1605207047. The reversal of 1605207040 is 407025061.

It can be written as a sum of positive squares in 2 ways, for example, as 566820864 + 1038386176 = 23808^2 + 32224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1605206996 and 1605207014.

It is not an unprimeable number, because it can be changed into a prime (1605207047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 151639 + ... + 161878.

Almost surely, 2^1605207040 is an apocalyptic number.

1605207040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1605207040 is an abundant number, since it is smaller than the sum of its proper divisors (2245421036).

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

1605207040 is an equidigital number, since it uses as much as digits as its factorization.

1605207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313542 (or 313524 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1605207040 is about 40065.0351303977. The cubic root of 1605207040 is about 1170.8745111621.

The spelling of 1605207040 in words is "one billion, six hundred five million, two hundred seven thousand, forty".