96456 has 16 divisors (see below), whose sum is σ = 241200. Its totient is φ = 32144.

The previous prime is 96451. The next prime is 96457. The reversal of 96456 is 65469.

It is an Ulam number.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96456.

It is not an unprimeable number, because it can be changed into a prime (96451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1986 + ... + 2033.

It is an arithmetic number, because the mean of its divisors is an integer number (15075).

2⁹⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

96456 is an abundant number, since it is smaller than the sum of its proper divisors (144744).

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 (120600).

96456 is a wasteful number, since it uses less digits than its factorization.

96456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4024 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 96456 is about 310.5736627597. The cubic root of 96456 is about 45.8609537834.

The spelling of 96456 in words is "ninety-six thousand, four hundred fifty-six".