42586880 has 144 divisors (see below), whose sum is σ = 120187200. Its totient is φ = 14450688.

The previous prime is 42586871. The next prime is 42586883. The reversal of 42586880 is 8868524.

It is not an unprimeable number, because it can be changed into a prime (42586883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438992 + ... + 439088.

Almost surely, 2^42586880 is an apocalyptic number.

42586880 is a gapful number since it is divisible by the number (40) 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 42586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60093600).

42586880 is an abundant number, since it is smaller than the sum of its proper divisors (77600320).

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

42586880 is an frugal number, since it uses more digits than its factorization.

42586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 42586880 is about 6525.8623951168. The cubic root of 42586880 is about 349.2142372542.

The spelling of 42586880 in words is "forty-two million, five hundred eighty-six thousand, eight hundred eighty".