159936 has 84 divisors (see below), whose sum is σ = 521208. Its totient is φ = 43008.

The previous prime is 159931. The next prime is 159937. The reversal of 159936 is 639951.

It is a tau number, because it is divible by the number of its divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 159897 and 159906.

It is not an unprimeable number, because it can be changed into a prime (159931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9400 + ... + 9416.

2¹⁵⁹⁹³⁶ is an apocalyptic number.

159936 is a gapful number since it is divisible by the number (16) 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 159936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260604).

159936 is an abundant number, since it is smaller than the sum of its proper divisors (361272).

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

159936 is a wasteful number, since it uses less digits than its factorization.

159936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

The product of its digits is 7290, while the sum is 33.

The square root of 159936 is about 399.9199919984. The cubic root of 159936 is about 54.2811129196.

The spelling of 159936 in words is "one hundred fifty-nine thousand, nine hundred thirty-six".