96224 has 24 divisors (see below), whose sum is σ = 197568. Its totient is φ = 46080.

The previous prime is 96223. The next prime is 96233. The reversal of 96224 is 42269.

96224 = T₆₁ + T₆₂ + ... + T₉₂.

It is a self number, because there is not a number n which added to its sum of digits gives 96224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96221) 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, 944 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁹⁶²²⁴ 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 96224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784).

96224 is an abundant number, since it is smaller than the sum of its proper divisors (101344).

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

96224 is a wasteful number, since it uses less digits than its factorization.

96224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 96224 is about 310.1999355255. The cubic root of 96224 is about 45.8241553707.

The spelling of 96224 in words is "ninety-six thousand, two hundred twenty-four".