207968 has 24 divisors (see below), whose sum is σ = 419832. Its totient is φ = 101376.

The previous prime is 207967. The next prime is 207971. The reversal of 207968 is 869702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2096 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (17493).

2²⁰⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

207968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

207968 is an equidigital number, since it uses as much as digits as its factorization.

207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 207968 is about 456.0350863695. The cubic root of 207968 is about 59.2468827548.

Subtracting from 207968 its sum of digits (32), we obtain a square (207936 = 456²).

The spelling of 207968 in words is "two hundred seven thousand, nine hundred sixty-eight".