57141760 has 160 divisors (see below), whose sum is σ = 157771152. Its totient is φ = 19660800.

The previous prime is 57141757. The next prime is 57141761. The reversal of 57141760 is 6714175.

It can be written as a sum of positive squares in 8 ways, for example, as 38340864 + 18800896 = 6192^2 + 4336^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (57141761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565710 + ... + 565810.

Almost surely, 2^57141760 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 57141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78885576).

57141760 is an abundant number, since it is smaller than the sum of its proper divisors (100629392).

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

57141760 is a wasteful number, since it uses less digits than its factorization.

57141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 57141760 is about 7559.2168906574. The cubic root of 57141760 is about 385.1688919984.

The spelling of 57141760 in words is "fifty-seven million, one hundred forty-one thousand, seven hundred sixty".