57688065 has 32 divisors (see below), whose sum is σ = 102873600. Its totient is φ = 30672000.

The previous prime is 57688039. The next prime is 57688067. The reversal of 57688065 is 56088675.

It is not a de Polignac number, because 57688065 - 2⁸ = 57687809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57688065.

It is not an unprimeable number, because it can be changed into a prime (57688067) 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 31 ways as a sum of consecutive naturals, for example, 76440 + ... + 77190.

It is an arithmetic number, because the mean of its divisors is an integer number (3214800).

It is a Proth number, since it is equal to 3521 ⋅ 2¹⁴ + 1 and 3521 < 2¹⁴.

Almost surely, 2^57688065 is an apocalyptic number.

It is an amenable number.

57688065 is a deficient number, since it is larger than the sum of its proper divisors (45185535).

57688065 is a wasteful number, since it uses less digits than its factorization.

57688065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 57688065 is about 7595.2659597936. The cubic root of 57688065 is about 386.3924726553.

The spelling of 57688065 in words is "fifty-seven million, six hundred eighty-eight thousand, sixty-five".