57345360 has 40 divisors (see below), whose sum is σ = 177771360. Its totient is φ = 15292032.

The previous prime is 57345341. The next prime is 57345361. The reversal of 57345360 is 6354375.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57345361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119230 + ... + 119709.

It is an arithmetic number, because the mean of its divisors is an integer number (4444284).

Almost surely, 2^57345360 is an apocalyptic number.

It is an amenable number.

57345360 is an abundant number, since it is smaller than the sum of its proper divisors (120426000).

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

57345360 is a wasteful number, since it uses less digits than its factorization.

57345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238955 (or 238949 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 57345360 is about 7572.6719194747. The cubic root of 57345360 is about 385.6258107870.

The spelling of 57345360 in words is "fifty-seven million, three hundred forty-five thousand, three hundred sixty".