57145360 has 40 divisors (see below), whose sum is σ = 133663320. Its totient is φ = 22720512.

The previous prime is 57145357. The next prime is 57145367. The reversal of 57145360 is 6354175.

57145360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17606416 + 39538944 = 4196^2 + 6288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (57145367) 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 7 ways as a sum of consecutive naturals, for example, 11776 + ... + 15904.

It is an arithmetic number, because the mean of its divisors is an integer number (3341583).

Almost surely, 2^57145360 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 57145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66831660).

57145360 is an abundant number, since it is smaller than the sum of its proper divisors (76517960).

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

57145360 is a wasteful number, since it uses less digits than its factorization.

57145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 57145360 is about 7559.4550068110. The cubic root of 57145360 is about 385.1769805305.

The spelling of 57145360 in words is "fifty-seven million, one hundred forty-five thousand, three hundred sixty".