42606144 has 84 divisors (see below), whose sum is σ = 139582144. Its totient is φ = 12172032.

The previous prime is 42606127. The next prime is 42606167. The reversal of 42606144 is 44160624.

42606144 is a `hidden beast` number, since 42 + 6 + 0 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252 + ... + 9315.

Almost surely, 2^42606144 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 42606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69791072).

42606144 is an abundant number, since it is smaller than the sum of its proper divisors (96976000).

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

42606144 is a wasteful number, since it uses less digits than its factorization.

42606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42606144 is about 6527.3382017481. The cubic root of 42606144 is about 349.2668845246.

Adding to 42606144 its reverse (44160624), we get a palindrome (86766768).

It can be divided in two parts, 4260 and 6144, that added together give a square (10404 = 102²).

The spelling of 42606144 in words is "forty-two million, six hundred six thousand, one hundred forty-four".