42561288 has 160 divisors (see below), whose sum is σ = 148800960. Its totient is φ = 11041920.

The previous prime is 42561223. The next prime is 42561289. The reversal of 42561288 is 88216524.

It is a super-2 number, since 2×42561288² = 3622926472437888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42561289) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 49470 + ... + 50322.

It is an arithmetic number, because the mean of its divisors is an integer number (930006).

Almost surely, 2^42561288 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 42561288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400480).

42561288 is an abundant number, since it is smaller than the sum of its proper divisors (106239672).

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

42561288 is a wasteful number, since it uses less digits than its factorization.

42561288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42561288 is about 6523.9012868068. The cubic root of 42561288 is about 349.1442714058.

It can be divided in two parts, 42561 and 288, that added together give a square (42849 = 207²).

The spelling of 42561288 in words is "forty-two million, five hundred sixty-one thousand, two hundred eighty-eight".