42057648 has 60 divisors (see below), whose sum is σ = 118955928. Its totient is φ = 13870080.

The previous prime is 42057629. The next prime is 42057671. The reversal of 42057648 is 84675024.

42057648 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 7 + 648 = 666.

42057648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12463 + ... + 15473.

Almost surely, 2^42057648 is an apocalyptic number.

42057648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42057648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59477964).

42057648 is an abundant number, since it is smaller than the sum of its proper divisors (76898280).

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

42057648 is a wasteful number, since it uses less digits than its factorization.

42057648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42057648 is about 6485.1868130378. The cubic root of 42057648 is about 347.7616282764.

The spelling of 42057648 in words is "forty-two million, fifty-seven thousand, six hundred forty-eight".