96324 has 24 divisors (see below), whose sum is σ = 235200. Its totient is φ = 30624.

The previous prime is 96323. The next prime is 96329. The reversal of 96324 is 42369.

It is an Ulam number.

It is a d-powerful number, because it can be written as 9⁵ + 6⁴ + 3⁷ + 2¹⁵ + 4⁵ .

96324 is a modest number, since divided by 324 gives 96 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 96294 and 96303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96323) 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 7 ways as a sum of consecutive naturals, for example, 102 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2⁹⁶³²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600).

96324 is an abundant number, since it is smaller than the sum of its proper divisors (138876).

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

96324 is a wasteful number, since it uses less digits than its factorization.

96324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 96324 is about 310.3610800342. The cubic root of 96324 is about 45.8400240003.

The spelling of 96324 in words is "ninety-six thousand, three hundred twenty-four".