42564864 has 72 divisors (see below), whose sum is σ = 119287840. Its totient is φ = 13436928.

The previous prime is 42564859. The next prime is 42564869. The reversal of 42564864 is 46846524.

It is an interprime number because it is at equal distance from previous prime (42564859) and next prime (42564869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13134 + ... + 16050.

Almost surely, 2^42564864 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 42564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59643920).

42564864 is an abundant number, since it is smaller than the sum of its proper divisors (76722976).

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

42564864 is a wasteful number, since it uses less digits than its factorization.

42564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2941 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 42564864 is about 6524.1753501879. The cubic root of 42564864 is about 349.1540495008.

The spelling of 42564864 in words is "forty-two million, five hundred sixty-four thousand, eight hundred sixty-four".