42564020 has 12 divisors (see below), whose sum is σ = 89384484. Its totient is φ = 17025600.

The previous prime is 42564013. The next prime is 42564043. The reversal of 42564020 is 2046524.

42564020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15085456 + 27478564 = 3884^2 + 5242^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1064081 + ... + 1064120.

It is an arithmetic number, because the mean of its divisors is an integer number (7448707).

Almost surely, 2^42564020 is an apocalyptic number.

It is an amenable number.

42564020 is an abundant number, since it is smaller than the sum of its proper divisors (46820464).

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

42564020 is a wasteful number, since it uses less digits than its factorization.

42564020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128210 (or 2128208 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42564020 is about 6524.1106673630. The cubic root of 42564020 is about 349.1517417447.

The spelling of 42564020 in words is "forty-two million, five hundred sixty-four thousand, twenty".