42182568 has 48 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 13606560.

The previous prime is 42182557. The next prime is 42182611. The reversal of 42182568 is 86528124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7218 + ... + 11681.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^42182568 is an apocalyptic number.

It is an amenable number.

42182568 is an abundant number, since it is smaller than the sum of its proper divisors (75753432).

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

42182568 is a wasteful number, since it uses less digits than its factorization.

42182568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18942 (or 18935 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42182568 is about 6494.8108517493. The cubic root of 42182568 is about 348.1055961753.

It can be divided in two parts, 4218 and 2568, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 42182568 in words is "forty-two million, one hundred eighty-two thousand, five hundred sixty-eight".