247968 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 69120.

The previous prime is 247957. The next prime is 247991. The reversal of 247968 is 869742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×247968² = 122976258048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 12 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 247968.

It is an unprimeable number.

247968 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 in 15 ways as a sum of consecutive naturals, for example, 6028 + ... + 6068.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

247968 is a Friedman number, since it can be written as 984*7*6^2, using all its digits and the basic arithmetic operations.

2²⁴⁷⁹⁶⁸ is an apocalyptic number.

247968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

247968 is an abundant number, since it is smaller than the sum of its proper divisors (598752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247968 is a wasteful number, since it uses less digits than its factorization.

247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 247968 is about 497.9638541099. The cubic root of 247968 is about 62.8249106687.

Adding to 247968 its sum of digits (36), we get a square (248004 = 498²).

The spelling of 247968 in words is "two hundred forty-seven thousand, nine hundred sixty-eight".