1605505060 has 48 divisors (see below), whose sum is σ = 3501236592. Its totient is φ = 617932800.

The previous prime is 1605505051. The next prime is 1605505063. The reversal of 1605505060 is 605055061.

It can be written as a sum of positive squares in 8 ways, for example, as 19554084 + 1585950976 = 4422^2 + 39824^2 .

It is not an unprimeable number, because it can be changed into a prime (1605505063) 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 15 ways as a sum of consecutive naturals, for example, 46450 + ... + 73270.

It is an arithmetic number, because the mean of its divisors is an integer number (72942429).

Almost surely, 2^1605505060 is an apocalyptic number.

1605505060 is a gapful number since it is divisible by the number (10) 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 1605505060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750618296).

1605505060 is an abundant number, since it is smaller than the sum of its proper divisors (1895731532).

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

1605505060 is a wasteful number, since it uses less digits than its factorization.

1605505060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26944 (or 26942 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 1605505060 is about 40068.7541608171. The cubic root of 1605505060 is about 1170.9469675328.

The spelling of 1605505060 in words is "one billion, six hundred five million, five hundred five thousand, sixty".