42568 has 16 divisors (see below), whose sum is σ = 84780. Its totient is φ = 19968.

The previous prime is 42557. The next prime is 42569. The reversal of 42568 is 86524.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 1764 = 202^2 + 42^2 .

It is not an unprimeable number, because it can be changed into a prime (42569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 292.

2⁴²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

42568 is a deficient number, since it is larger than the sum of its proper divisors (42212).

42568 is a wasteful number, since it uses less digits than its factorization.

42568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 42568 is about 206.3201395889. The cubic root of 42568 is about 34.9162624024.

Subtracting 42568 from its reverse (86524), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 425 and 68, that multiplied together give a square (28900 = 170²).

The spelling of 42568 in words is "forty-two thousand, five hundred sixty-eight".