57671140 has 48 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 20959232.

The previous prime is 57671093. The next prime is 57671161. The reversal of 57671140 is 4117675.

It can be written as a sum of positive squares in 8 ways, for example, as 2304 + 57668836 = 48^2 + 7594^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6936 + ... + 12784.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^57671140 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 57671140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

57671140 is an abundant number, since it is smaller than the sum of its proper divisors (75006860).

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

57671140 is a wasteful number, since it uses less digits than its factorization.

57671140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5902 counting only the distinct ones).

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

The square root of 57671140 is about 7594.1516971944. The cubic root of 57671140 is about 386.3546812898.

The spelling of 57671140 in words is "fifty-seven million, six hundred seventy-one thousand, one hundred forty".