42108864 has 224 divisors, whose sum is σ = 143377920. Its totient is φ = 10616832.

The previous prime is 42108863. The next prime is 42108877. The reversal of 42108864 is 46880124.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42108863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434064 + ... + 434160.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^42108864 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 42108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

42108864 is an abundant number, since it is smaller than the sum of its proper divisors (101269056).

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

42108864 is a wasteful number, since it uses less digits than its factorization.

42108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42108864 is about 6489.1343028173. The cubic root of 42108864 is about 347.9027340798.

Adding to 42108864 its reverse (46880124), we get a palindrome (88988988).

The spelling of 42108864 in words is "forty-two million, one hundred eight thousand, eight hundred sixty-four".