96468 has 12 divisors (see below), whose sum is σ = 225120. Its totient is φ = 32152.

The previous prime is 96461. The next prime is 96469. The reversal of 96468 is 86469.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96461) by changing a digit.

96468 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 3 ways as a sum of consecutive naturals, for example, 4008 + ... + 4031.

It is an arithmetic number, because the mean of its divisors is an integer number (18760).

2⁹⁶⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

96468 is an abundant number, since it is smaller than the sum of its proper divisors (128652).

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 (112560).

96468 is a wasteful number, since it uses less digits than its factorization.

96468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8044 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 96468 is about 310.5929812472. The cubic root of 96468 is about 45.8628555439.

Subtracting from 96468 its reverse (86469), we obtain a palindrome (9999).

The spelling of 96468 in words is "ninety-six thousand, four hundred sixty-eight".