42586560 has 280 divisors, whose sum is σ = 159325056. Its totient is φ = 10782720.

The previous prime is 42586541. The next prime is 42586561. The reversal of 42586560 is 6568524.

42586560 is a `hidden beast` number, since 42 + 58 + 6 + 560 = 666.

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

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42586561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803494 + ... + 803546.

Almost surely, 2^42586560 is an apocalyptic number.

42586560 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 42586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79662528).

42586560 is an abundant number, since it is smaller than the sum of its proper divisors (116738496).

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

42586560 is a wasteful number, since it uses less digits than its factorization.

42586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42586560 is about 6525.8378772384. The cubic root of 42586560 is about 349.2133625807.

The spelling of 42586560 in words is "forty-two million, five hundred eighty-six thousand, five hundred sixty".