42233568 has 96 divisors (see below), whose sum is σ = 122322816. Its totient is φ = 12676608.

The previous prime is 42233459. The next prime is 42233573. The reversal of 42233568 is 86533224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 53271 + ... + 54057.

It is an arithmetic number, because the mean of its divisors is an integer number (1274196).

Almost surely, 2^42233568 is an apocalyptic number.

42233568 is a gapful number since it is divisible by the number (48) 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 42233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61161408).

42233568 is an abundant number, since it is smaller than the sum of its proper divisors (80089248).

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

42233568 is a wasteful number, since it uses less digits than its factorization.

42233568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 848 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 42233568 is about 6498.7358770764. The cubic root of 42233568 is about 348.2458297383.

The spelling of 42233568 in words is "forty-two million, two hundred thirty-three thousand, five hundred sixty-eight".