42180 has 48 divisors (see below), whose sum is σ = 127680. Its totient is φ = 10368.

The previous prime is 42179. The next prime is 42181. The reversal of 42180 is 8124.

42180 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42179) and next prime (42181).

It is a Harshad number since it is a multiple of its sum of digits (15).

42180 is strictly pandigital in base 6.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2⁴²¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

42180 is an abundant number, since it is smaller than the sum of its proper divisors (85500).

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

42180 is a wasteful number, since it uses less digits than its factorization.

42180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 42180 is about 205.3777008343. The cubic root of 42180 is about 34.8098532015.

Adding to 42180 its sum of digits (15), we get a triangular number (42195 = T₂₉₀).

It can be divided in two parts, 42 and 180, that added together give a palindrome (222).

The spelling of 42180 in words is "forty-two thousand, one hundred eighty".