42265584 has 80 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 13993920.

The previous prime is 42265583. The next prime is 42265589. The reversal of 42265584 is 48556224.

It is a happy number.

42265584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42265584² = 3572759181722112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (42265583) 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 15 ways as a sum of consecutive naturals, for example, 97849 + ... + 98279.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^42265584 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 42265584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

42265584 is an abundant number, since it is smaller than the sum of its proper divisors (79869456).

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

42265584 is a wasteful number, since it uses less digits than its factorization.

42265584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42265584 is about 6501.1986587090. The cubic root of 42265584 is about 348.3338057476. Note that the first 3 decimals are identical.

It can be divided in two parts, 42265 and 584, that added together give a square (42849 = 207²).

The spelling of 42265584 in words is "forty-two million, two hundred sixty-five thousand, five hundred eighty-four".