57314160 has 120 divisors (see below), whose sum is σ = 200906784. Its totient is φ = 14615040.

The previous prime is 57314119. The next prime is 57314161. The reversal of 57314160 is 6141375.

57314160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57314161) 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 23 ways as a sum of consecutive naturals, for example, 14830 + ... + 18290.

Almost surely, 2^57314160 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 57314160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100453392).

57314160 is an abundant number, since it is smaller than the sum of its proper divisors (143592624).

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

57314160 is a wasteful number, since it uses less digits than its factorization.

57314160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57314160 is about 7570.6116001285. The cubic root of 57314160 is about 385.5558620416. Note that the first 3 decimals are identical.

It can be divided in two parts, 57 and 314160, that multiplied together give a triangular number (17907120 = T₅₉₈₄).

The spelling of 57314160 in words is "fifty-seven million, three hundred fourteen thousand, one hundred sixty".