1605216064 has 56 divisors (see below), whose sum is σ = 3359851040. Its totient is φ = 758813184.

The previous prime is 1605216061. The next prime is 1605216071. The reversal of 1605216064 is 4606125061.

It is a super-2 number, since 2×1605216064² = 5153437224247304192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605216061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780862 + ... + 782914.

It is an arithmetic number, because the mean of its divisors is an integer number (59997340).

Almost surely, 2^1605216064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1605216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679925520).

1605216064 is an abundant number, since it is smaller than the sum of its proper divisors (1754634976).

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

1605216064 is a wasteful number, since it uses less digits than its factorization.

1605216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1605216064 is about 40065.1477471380. The cubic root of 1605216064 is about 1170.8767052616.

The spelling of 1605216064 in words is "one billion, six hundred five million, two hundred sixteen thousand, sixty-four".