42586368 has 108 divisors (see below), whose sum is σ = 125411664. Its totient is φ = 12723200.

The previous prime is 42586367. The next prime is 42586373. The reversal of 42586368 is 86368524.

It is not an unprimeable number, because it can be changed into a prime (42586367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599773 + ... + 599843.

Almost surely, 2^42586368 is an apocalyptic number.

42586368 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 42586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62705832).

42586368 is an abundant number, since it is smaller than the sum of its proper divisors (82825296).

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

42586368 is an equidigital number, since it uses as much as digits as its factorization.

42586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 87 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 42586368 is about 6525.8231664672. The cubic root of 42586368 is about 349.2128377746.

The spelling of 42586368 in words is "forty-two million, five hundred eighty-six thousand, three hundred sixty-eight".