159840 has 96 divisors (see below), whose sum is σ = 574560. Its totient is φ = 41472.

The previous prime is 159839. The next prime is 159853. The reversal of 159840 is 48951.

159840 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4302 + ... + 4338.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2¹⁵⁹⁸⁴⁰ is an apocalyptic number.

159840 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 159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

159840 is an abundant number, since it is smaller than the sum of its proper divisors (414720).

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

159840 is a wasteful number, since it uses less digits than its factorization.

159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 159840 is about 399.7999499750. The cubic root of 159840 is about 54.2702501791.

159840 divided by its product of nonzero digits (1440) gives a palindrome (111).

Subtracting from 159840 its reverse (48951), we obtain a square (110889 = 333²).

It can be divided in two parts, 159 and 840, that added together give a palindrome (999).

The spelling of 159840 in words is "one hundred fifty-nine thousand, eight hundred forty".