18968 has 8 divisors (see below), whose sum is σ = 35580. Its totient is φ = 9480.

The previous prime is 18959. The next prime is 18973. The reversal of 18968 is 86981.

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

18968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1178 + ... + 1193.

2¹⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

18968 is a deficient number, since it is larger than the sum of its proper divisors (16612).

18968 is a wasteful number, since it uses less digits than its factorization.

18968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2373 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 18968 is about 137.7243624055. The cubic root of 18968 is about 26.6690275688.

It can be divided in two parts, 18 and 968, that multiplied together give a square (17424 = 132²).

The spelling of 18968 in words is "eighteen thousand, nine hundred sixty-eight".