243968 has 18 divisors (see below), whose sum is σ = 487494. Its totient is φ = 121856.

The previous prime is 243953. The next prime is 243973. The reversal of 243968 is 869342.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 43264 = 448^2 + 208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2⁹ + 4⁸ + 9³ + 3¹¹ + 6² + 8 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 243968.

It is an unprimeable number.

243968 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (27083).

2²⁴³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

243968 is a deficient number, since it is larger than the sum of its proper divisors (243526).

243968 is an frugal number, since it uses more digits than its factorization.

243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 243968 is about 493.9311692939. The cubic root of 243968 is about 62.4852658601.

The spelling of 243968 in words is "two hundred forty-three thousand, nine hundred sixty-eight".