57676641 has 16 divisors (see below), whose sum is σ = 84127680. Its totient is φ = 34857920.

The previous prime is 57676613. The next prime is 57676651. The reversal of 57676641 is 14667675.

It is a cyclic number.

It is not a de Polignac number, because 57676641 - 2¹⁰ = 57675617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57676593 and 57676602.

It is not an unprimeable number, because it can be changed into a prime (57676651) 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 15 ways as a sum of consecutive naturals, for example, 10591 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (5257980).

Almost surely, 2^57676641 is an apocalyptic number.

It is an amenable number.

57676641 is a deficient number, since it is larger than the sum of its proper divisors (26451039).

57676641 is a wasteful number, since it uses less digits than its factorization.

57676641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896.

The product of its digits is 211680, while the sum is 42.

The square root of 57676641 is about 7594.5138751601. The cubic root of 57676641 is about 386.3669651319.

The spelling of 57676641 in words is "fifty-seven million, six hundred seventy-six thousand, six hundred forty-one".