42564560 has 80 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 15713280.

The previous prime is 42564551. The next prime is 42564569. The reversal of 42564560 is 6546524.

42564560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42564551) and next prime (42564569).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61979 + ... + 62661.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^42564560 is an apocalyptic number.

42564560 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 42564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

42564560 is an abundant number, since it is smaller than the sum of its proper divisors (64303600).

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

42564560 is a wasteful number, since it uses less digits than its factorization.

42564560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 42564560 is about 6524.1520521827. The cubic root of 42564560 is about 349.1532182746.

The spelling of 42564560 in words is "forty-two million, five hundred sixty-four thousand, five hundred sixty".