42160 has 40 divisors (see below), whose sum is σ = 107136. Its totient is φ = 15360.

The previous prime is 42157. The next prime is 42169. The reversal of 42160 is 6124.

42160 is nontrivially palindromic in base 13.

42160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

42160 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 42160.

It is not an unprimeable number, because it can be changed into a prime (42169) 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, 1345 + ... + 1375.

2⁴²¹⁶⁰ is an apocalyptic number.

42160 is a gapful number since it is divisible by the number (40) 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 42160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

42160 is an abundant number, since it is smaller than the sum of its proper divisors (64976).

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

42160 is a wasteful number, since it uses less digits than its factorization.

42160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42160 is about 205.3290042834. The cubic root of 42160 is about 34.8043505373.

Adding to 42160 its reverse (6124), we get a palindrome (48284).

It can be divided in two parts, 42 and 160, that added together give a palindrome (202).

The spelling of 42160 in words is "forty-two thousand, one hundred sixty".