96968 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 42240.

The previous prime is 96959. The next prime is 96973. The reversal of 96968 is 86969.

96968 = T₁₀₂ + T₁₀₃ + ... + T₁₁₇.

It is a zygodrome in base 5.

It is an unprimeable number.

96968 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 in 7 ways as a sum of consecutive naturals, for example, 3113 + ... + 3143.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁹⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

96968 is an abundant number, since it is smaller than the sum of its proper divisors (110392).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

96968 is a wasteful number, since it uses less digits than its factorization.

96968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 96968 is about 311.3968529064. The cubic root of 96968 is about 45.9419557743.

Subtracting from 96968 its reverse (86969), we obtain a palindrome (9999).

The spelling of 96968 in words is "ninety-six thousand, nine hundred sixty-eight".