42585270 has 128 divisors (see below), whose sum is σ = 132572160. Its totient is φ = 8501760.

The previous prime is 42585233. The next prime is 42585271. The reversal of 42585270 is 7258524.

42585270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51460 + ... + 52280.

It is an arithmetic number, because the mean of its divisors is an integer number (1035720).

Almost surely, 2^42585270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42585270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66286080).

42585270 is an abundant number, since it is smaller than the sum of its proper divisors (89986890).

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

42585270 is a wasteful number, since it uses less digits than its factorization.

42585270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 42585270 is about 6525.7390386070. The cubic root of 42585270 is about 349.2098365091.

The spelling of 42585270 in words is "forty-two million, five hundred eighty-five thousand, two hundred seventy".