1216224 has 72 divisors (see below), whose sum is σ = 3577392. Its totient is φ = 391680.

The previous prime is 1216213. The next prime is 1216249. The reversal of 1216224 is 4226121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1216197 and 1216206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11757 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (49686).

2^1216224 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 1216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788696).

1216224 is an abundant number, since it is smaller than the sum of its proper divisors (2361168).

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

1216224 is a wasteful number, since it uses less digits than its factorization.

1216224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 1216224 is about 1102.8254621653. The cubic root of 1216224 is about 106.7426195154.

It can be divided in two parts, 1 and 216224, that added together give a square (216225 = 465²).

The spelling of 1216224 in words is "one million, two hundred sixteen thousand, two hundred twenty-four".