57339648 has 108 divisors (see below), whose sum is σ = 169635648. Its totient is φ = 18616320.

The previous prime is 57339647. The next prime is 57339649. The reversal of 57339648 is 84693375.

57339648 is a `hidden beast` number, since 573 + 39 + 6 + 48 = 666.

57339648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57339647) and next prime (57339649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57339647) by changing a digit.

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, 94161 + ... + 94767.

Almost surely, 2^57339648 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 57339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84817824).

57339648 is an abundant number, since it is smaller than the sum of its proper divisors (112296000).

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

57339648 is a wasteful number, since it uses less digits than its factorization.

57339648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 57339648 is about 7572.2947644687. The cubic root of 57339648 is about 385.6130066835.

The spelling of 57339648 in words is "fifty-seven million, three hundred thirty-nine thousand, six hundred forty-eight".