1585960 has 32 divisors (see below), whose sum is σ = 3686400. Its totient is φ = 613440.

The previous prime is 1585937. The next prime is 1585963. The reversal of 1585960 is 695851.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1585963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

2^1585960 is an apocalyptic number.

1585960 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 1585960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843200).

1585960 is an abundant number, since it is smaller than the sum of its proper divisors (2100440).

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

1585960 is a wasteful number, since it uses less digits than its factorization.

1585960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 1585960 is about 1259.3490381939. The cubic root of 1585960 is about 116.6175938742.

The spelling of 1585960 in words is "one million, five hundred eighty-five thousand, nine hundred sixty".