42220584 has 96 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 11425536.

The previous prime is 42220583. The next prime is 42220613. The reversal of 42220584 is 48502224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42220583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7372 + ... + 11780.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2^42220584 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 42220584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

42220584 is an abundant number, since it is smaller than the sum of its proper divisors (95371416).

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

42220584 is a wasteful number, since it uses less digits than its factorization.

42220584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42220584 is about 6497.7368367763. The cubic root of 42220584 is about 348.2101386398.

The spelling of 42220584 in words is "forty-two million, two hundred twenty thousand, five hundred eighty-four".