1595628160 has 384 divisors, whose sum is σ = 4878876240. Its totient is φ = 495452160.

The previous prime is 1595628131. The next prime is 1595628161. The reversal of 1595628160 is 618265951.

It can be written as a sum of positive squares in 8 ways, for example, as 529736256 + 1065891904 = 23016^2 + 32648^2 .

It is not an unprimeable number, because it can be changed into a prime (1595628161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21857884 + ... + 21857956.

Almost surely, 2^1595628160 is an apocalyptic number.

1595628160 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 1595628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439438120).

1595628160 is an abundant number, since it is smaller than the sum of its proper divisors (3283248080).

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

1595628160 is a wasteful number, since it uses less digits than its factorization.

1595628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 1595628160 is about 39945.3146188636. The cubic root of 1595628160 is about 1168.5408454119.

The spelling of 1595628160 in words is "one billion, five hundred ninety-five million, six hundred twenty-eight thousand, one hundred sixty".