42406584 has 96 divisors (see below), whose sum is σ = 120407040. Its totient is φ = 12342400.

The previous prime is 42406579. The next prime is 42406591. The reversal of 42406584 is 48560424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221929 + ... + 222119.

It is an arithmetic number, because the mean of its divisors is an integer number (1254240).

Almost surely, 2^42406584 is an apocalyptic number.

42406584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60203520).

42406584 is an abundant number, since it is smaller than the sum of its proper divisors (78000456).

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

42406584 is a wasteful number, since it uses less digits than its factorization.

42406584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42406584 is about 6512.0337836962. The cubic root of 42406584 is about 348.7207285205.

The spelling of 42406584 in words is "forty-two million, four hundred six thousand, five hundred eighty-four".