1595842560 has 560 divisors, whose sum is σ = 6327638856. Its totient is φ = 382205952.

The previous prime is 1595842553. The next prime is 1595842571. The reversal of 1595842560 is 652485951.

1595842560 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 84 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1316818944 + 279023616 = 36288^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43130862 + ... + 43130898.

Almost surely, 2^1595842560 is an apocalyptic number.

1595842560 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 1595842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163819428).

1595842560 is an abundant number, since it is smaller than the sum of its proper divisors (4731796296).

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

1595842560 is an equidigital number, since it uses as much as digits as its factorization.

1595842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1595842560 is about 39947.9981976569. The cubic root of 1595842560 is about 1168.5931809002.

The spelling of 1595842560 in words is "one billion, five hundred ninety-five million, eight hundred forty-two thousand, five hundred sixty".