42865824 has 96 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 13305600.

The previous prime is 42865811. The next prime is 42865829. The reversal of 42865824 is 42856824.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42865829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129339 + ... + 129669.

It is an arithmetic number, because the mean of its divisors is an integer number (1254960).

Almost surely, 2^42865824 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 42865824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60238080).

42865824 is an abundant number, since it is smaller than the sum of its proper divisors (77610336).

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

42865824 is a wasteful number, since it uses less digits than its factorization.

42865824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 122880, while the sum is 39.

The square root of 42865824 is about 6547.1997067449. The cubic root of 42865824 is about 349.9750295111.

The spelling of 42865824 in words is "forty-two million, eight hundred sixty-five thousand, eight hundred twenty-four".