57705120 has 144 divisors (see below), whose sum is σ = 214879392. Its totient is φ = 13985280.

The previous prime is 57705101. The next prime is 57705121. The reversal of 57705120 is 2150775.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (57705121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14019 + ... + 17661.

It is an arithmetic number, because the mean of its divisors is an integer number (1492218).

Almost surely, 2^57705120 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 57705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107439696).

57705120 is an abundant number, since it is smaller than the sum of its proper divisors (157174272).

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

57705120 is a wasteful number, since it uses less digits than its factorization.

57705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 57705120 is about 7596.3886156515. The cubic root of 57705120 is about 386.4305468180.

Adding to 57705120 its reverse (2150775), we get a palindrome (59855895).

The spelling of 57705120 in words is "fifty-seven million, seven hundred five thousand, one hundred twenty".