1600145664 has 144 divisors (see below), whose sum is σ = 4610380992. Its totient is φ = 489775104.

The previous prime is 1600145639. The next prime is 1600145669. The reversal of 1600145664 is 4665410061.

It is a happy number.

It is a super-2 number, since 2×1600145664² = 5120932292036001792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1600145669) 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 15 ways as a sum of consecutive naturals, for example, 2925039 + ... + 2925585.

Almost surely, 2^1600145664 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 1600145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305190496).

1600145664 is an abundant number, since it is smaller than the sum of its proper divisors (3010235328).

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

1600145664 is a wasteful number, since it uses less digits than its factorization.

1600145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1600145664 is about 40001.8207585605. The cubic root of 1600145664 is about 1169.6425878847.

The spelling of 1600145664 in words is "one billion, six hundred million, one hundred forty-five thousand, six hundred sixty-four".