42488064 has 108 divisors (see below), whose sum is σ = 127226736. Its totient is φ = 14141952.

The previous prime is 42488063. The next prime is 42488077. The reversal of 42488064 is 46088424.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42488063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61867 + ... + 62549.

Almost surely, 2^42488064 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 42488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63613368).

42488064 is an abundant number, since it is smaller than the sum of its proper divisors (84738672).

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

42488064 is an frugal number, since it uses more digits than its factorization.

42488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42488064 is about 6518.2868915076. The cubic root of 42488064 is about 348.9439296024.

It can be divided in two parts, 424 and 88064, that added together give a palindrome (88488).

The spelling of 42488064 in words is "forty-two million, four hundred eighty-eight thousand, sixty-four".