96216 has 32 divisors (see below), whose sum is σ = 254400. Its totient is φ = 30240.

The previous prime is 96211. The next prime is 96221. The reversal of 96216 is 61269.

96216 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (96211) and next prime (96221).

It is a Harshad number since it is a multiple of its sum of digits (24).

96216 is a modest number, since divided by 216 gives 96 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (7950).

2⁹⁶²¹⁶ 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 96216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127200).

96216 is an abundant number, since it is smaller than the sum of its proper divisors (158184).

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

96216 is a wasteful number, since it uses less digits than its factorization.

96216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 96216 is about 310.1870403482. The cubic root of 96216 is about 45.8228854055.

It can be divided in two parts, 96 and 216, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 96216 in words is "ninety-six thousand, two hundred sixteen".