57675840 has 112 divisors (see below), whose sum is σ = 185854848. Its totient is φ = 15151104.

The previous prime is 57675833. The next prime is 57675847. The reversal of 57675840 is 4857675.

It is an interprime number because it is at equal distance from previous prime (57675833) and next prime (57675847).

It is a junction number, because it is equal to n+sod(n) for n = 57675792 and 57675801.

It is not an unprimeable number, because it can be changed into a prime (57675847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69669 + ... + 70491.

Almost surely, 2^57675840 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 57675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92927424).

57675840 is an abundant number, since it is smaller than the sum of its proper divisors (128179008).

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

57675840 is a wasteful number, since it uses less digits than its factorization.

57675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 57675840 is about 7594.4611395411. The cubic root of 57675840 is about 386.3651765316.

The spelling of 57675840 in words is "fifty-seven million, six hundred seventy-five thousand, eight hundred forty".