159586560 has 216 divisors, whose sum is σ = 631350720. Its totient is φ = 36458496.

The previous prime is 159586519. The next prime is 159586577. The reversal of 159586560 is 65685951.

It is a happy number.

159586560 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 86 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79651 + ... + 81629.

It is an arithmetic number, because the mean of its divisors is an integer number (2922920).

Almost surely, 2^159586560 is an apocalyptic number.

159586560 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 159586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315675360).

159586560 is an abundant number, since it is smaller than the sum of its proper divisors (471764160).

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

159586560 is a wasteful number, since it uses less digits than its factorization.

159586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 159586560 is about 12632.7574187111. The cubic root of 159586560 is about 542.4155163024.

The spelling of 159586560 in words is "one hundred fifty-nine million, five hundred eighty-six thousand, five hundred sixty".