42564520 has 32 divisors (see below), whose sum is σ = 96513120. Its totient is φ = 16893760.

The previous prime is 42564479. The next prime is 42564521. The reversal of 42564520 is 2546524.

42564520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42564521) 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 7 ways as a sum of consecutive naturals, for example, 1179 + ... + 9301.

It is an arithmetic number, because the mean of its divisors is an integer number (3016035).

Almost surely, 2^42564520 is an apocalyptic number.

42564520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42564520 is an abundant number, since it is smaller than the sum of its proper divisors (53948600).

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

42564520 is a wasteful number, since it uses less digits than its factorization.

42564520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 42564520 is about 6524.1489866495. The cubic root of 42564520 is about 349.1531089025.

The spelling of 42564520 in words is "forty-two million, five hundred sixty-four thousand, five hundred twenty".