57838560 has 288 divisors, whose sum is σ = 212502528. Its totient is φ = 13178880.

The previous prime is 57838513. The next prime is 57838567. The reversal of 57838560 is 6583875.

57838560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57838567) 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 47 ways as a sum of consecutive naturals, for example, 1865745 + ... + 1865775.

It is an arithmetic number, because the mean of its divisors is an integer number (737856).

Almost surely, 2^57838560 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 57838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

57838560 is an abundant number, since it is smaller than the sum of its proper divisors (154663968).

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

57838560 is a wasteful number, since it uses less digits than its factorization.

57838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 57838560 is about 7605.1666648404. The cubic root of 57838560 is about 386.7281841612.

The spelling of 57838560 in words is "fifty-seven million, eight hundred thirty-eight thousand, five hundred sixty".