42868224 has 160 divisors (see below), whose sum is σ = 145347840. Its totient is φ = 12220416.

The previous prime is 42868223. The next prime is 42868229. The reversal of 42868224 is 42286824.

It is a happy number.

42868224 is a `hidden beast` number, since 428 + 6 + 8 + 224 = 666.

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 (42868223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96547 + ... + 96989.

It is an arithmetic number, because the mean of its divisors is an integer number (908424).

Almost surely, 2^42868224 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 42868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72673920).

42868224 is an abundant number, since it is smaller than the sum of its proper divisors (102479616).

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

42868224 is an equidigital number, since it uses as much as digits as its factorization.

42868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

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

The square root of 42868224 is about 6547.3829886452. The cubic root of 42868224 is about 349.9815609334.

The spelling of 42868224 in words is "forty-two million, eight hundred sixty-eight thousand, two hundred twenty-four".