42648064 has 40 divisors (see below), whose sum is σ = 87994368. Its totient is φ = 20628480.

The previous prime is 42648059. The next prime is 42648107. The reversal of 42648064 is 46084624.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14529 + ... + 17215.

Almost surely, 2^42648064 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 42648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997184).

42648064 is an abundant number, since it is smaller than the sum of its proper divisors (45346304).

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

42648064 is an equidigital number, since it uses as much as digits as its factorization.

42648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 42648064 is about 6530.5485221381. The cubic root of 42648064 is about 349.3813943678.

The spelling of 42648064 in words is "forty-two million, six hundred forty-eight thousand, sixty-four".