196224 has 64 divisors (see below), whose sum is σ = 603840. Its totient is φ = 55296.

The previous prime is 196201. The next prime is 196247. The reversal of 196224 is 422691.

196224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196201) and next prime (196247).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 196194 and 196203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2652 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (9435).

2¹⁹⁶²²⁴ is an apocalyptic number.

196224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301920).

196224 is an abundant number, since it is smaller than the sum of its proper divisors (407616).

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

196224 is an equidigital number, since it uses as much as digits as its factorization.

196224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 196224 is about 442.9717823970. The cubic root of 196224 is about 58.1099776186.

The spelling of 196224 in words is "one hundred ninety-six thousand, two hundred twenty-four".