42564060 has 288 divisors, whose sum is σ = 167311872. Its totient is φ = 8501760.

The previous prime is 42564059. The next prime is 42564077. The reversal of 42564060 is 6046524.

It is a happy number.

42564060 is a `hidden beast` number, since 4 + 256 + 406 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512779 + ... + 512861.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^42564060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42564060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

42564060 is an abundant number, since it is smaller than the sum of its proper divisors (124747812).

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

42564060 is a wasteful number, since it uses less digits than its factorization.

42564060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42564060 is about 6524.1137329142. The cubic root of 42564060 is about 349.1518511177.

The spelling of 42564060 in words is "forty-two million, five hundred sixty-four thousand, sixty".