42688224 has 72 divisors (see below), whose sum is σ = 128550240. Its totient is φ = 13390848.

The previous prime is 42688223. The next prime is 42688229. The reversal of 42688224 is 42288624.

It is a happy number.

42688224 is a `hidden beast` number, since 426 + 8 + 8 + 224 = 666.

42688224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×42688224³ (a number of 24 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42688223) 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 11 ways as a sum of consecutive naturals, for example, 537 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1785420).

Almost surely, 2^42688224 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 42688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64275120).

42688224 is an abundant number, since it is smaller than the sum of its proper divisors (85862016).

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

42688224 is a wasteful number, since it uses less digits than its factorization.

42688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8741 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42688224 is about 6533.6225786312. The cubic root of 42688224 is about 349.4910261899.

The spelling of 42688224 in words is "forty-two million, six hundred eighty-eight thousand, two hundred twenty-four".