42337568 has 144 divisors (see below), whose sum is σ = 109396224. Its totient is φ = 15966720.

The previous prime is 42337541. The next prime is 42337571. The reversal of 42337568 is 86573324.

Its product of digits (120960) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631871 + ... + 631937.

It is an arithmetic number, because the mean of its divisors is an integer number (759696).

Almost surely, 2^42337568 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 42337568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54698112).

42337568 is an abundant number, since it is smaller than the sum of its proper divisors (67058656).

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

42337568 is a wasteful number, since it uses less digits than its factorization.

42337568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 42337568 is about 6506.7325133280. The cubic root of 42337568 is about 348.5314467649.

The spelling of 42337568 in words is "forty-two million, three hundred thirty-seven thousand, five hundred sixty-eight".