48968 has 8 divisors (see below), whose sum is σ = 91830. Its totient is φ = 24480.

The previous prime is 48953. The next prime is 48973. The reversal of 48968 is 86984.

It can be written as a sum of positive squares in only one way, i.e., 47524 + 1444 = 218^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

48968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3053 + ... + 3068.

2⁴⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

48968 is a deficient number, since it is larger than the sum of its proper divisors (42862).

48968 is a wasteful number, since it uses less digits than its factorization.

48968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6123 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 48968 is about 221.2871437748. The cubic root of 48968 is about 36.5850895300.

It can be divided in two parts, 48 and 968, that multiplied together give a palindrome (46464).

The spelling of 48968 in words is "forty-eight thousand, nine hundred sixty-eight".