42588180 has 168 divisors, whose sum is σ = 141023232. Its totient is φ = 10777536.

The previous prime is 42588167. The next prime is 42588181. The reversal of 42588180 is 8188524.

It is a super-3 number, since 3×42588180³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42588181) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 335277 + ... + 335403.

It is an arithmetic number, because the mean of its divisors is an integer number (839424).

Almost surely, 2^42588180 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 42588180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70511616).

42588180 is an abundant number, since it is smaller than the sum of its proper divisors (98435052).

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

42588180 is a wasteful number, since it uses less digits than its factorization.

42588180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 42588180 is about 6525.9619980506. The cubic root of 42588180 is about 349.2177905699.

The spelling of 42588180 in words is "forty-two million, five hundred eighty-eight thousand, one hundred eighty".