42560 has 56 divisors (see below), whose sum is σ = 121920. Its totient is φ = 13824.

The previous prime is 42557. The next prime is 42569. The reversal of 42560 is 6524.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×42560² = 3622707200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42560.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2231 + ... + 2249.

2⁴²⁵⁶⁰ is an apocalyptic number.

42560 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 42560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

42560 is an abundant number, since it is smaller than the sum of its proper divisors (79360).

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

42560 is a wasteful number, since it uses less digits than its factorization.

42560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 42560 is about 206.3007513316. The cubic root of 42560 is about 34.9140749407.

The spelling of 42560 in words is "forty-two thousand, five hundred sixty".