57534120 has 288 divisors, whose sum is σ = 229881600. Its totient is φ = 12220416.

The previous prime is 57534119. The next prime is 57534121. The reversal of 57534120 is 2143575.

It is a happy number.

57534120 is a `hidden beast` number, since 5 + 7 + 534 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (57534119) and next prime (57534121).

It is not an unprimeable number, because it can be changed into a prime (57534121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728241 + ... + 728319.

It is an arithmetic number, because the mean of its divisors is an integer number (798200).

Almost surely, 2^57534120 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 57534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114940800).

57534120 is an abundant number, since it is smaller than the sum of its proper divisors (172347480).

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

57534120 is a wasteful number, since it uses less digits than its factorization.

57534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57534120 is about 7585.1249165719. The cubic root of 57534120 is about 386.0484605412.

Adding to 57534120 its reverse (2143575), we get a palindrome (59677695).

The spelling of 57534120 in words is "fifty-seven million, five hundred thirty-four thousand, one hundred twenty".