42032864 has 48 divisors (see below), whose sum is σ = 87771600. Its totient is φ = 19759104.

The previous prime is 42032849. The next prime is 42032873. The reversal of 42032864 is 46823024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156122 + ... + 156390.

It is an arithmetic number, because the mean of its divisors is an integer number (1828575).

Almost surely, 2^42032864 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 42032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43885800).

42032864 is an abundant number, since it is smaller than the sum of its proper divisors (45738736).

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

42032864 is a wasteful number, since it uses less digits than its factorization.

42032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 42032864 is about 6483.2757152538. The cubic root of 42032864 is about 347.6933044545.

Adding to 42032864 its reverse (46823024), we get a palindrome (88855888).

The spelling of 42032864 in words is "forty-two million, thirty-two thousand, eight hundred sixty-four".