57968 has 10 divisors (see below), whose sum is σ = 112344. Its totient is φ = 28976.

The previous prime is 57947. The next prime is 57973. The reversal of 57968 is 86975.

57968 = T₇₇ + T₇₈ + ... + T₉₂.

57968 is nontrivially palindromic in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1796 + ... + 1827.

2⁵⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

57968 is a deficient number, since it is larger than the sum of its proper divisors (54376).

57968 is a wasteful number, since it uses less digits than its factorization.

57968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3625 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 57968 is about 240.7654460258. The cubic root of 57968 is about 38.7016462431.

The spelling of 57968 in words is "fifty-seven thousand, nine hundred sixty-eight".