8416224 has 120 divisors (see below), whose sum is σ = 26345088. Its totient is φ = 2626560.

The previous prime is 8416223. The next prime is 8416249. The reversal of 8416224 is 4226148.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43969 + ... + 44159.

Almost surely, 2^8416224 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 8416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

8416224 is an abundant number, since it is smaller than the sum of its proper divisors (17928864).

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

8416224 is a wasteful number, since it uses less digits than its factorization.

8416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8416224 is about 2901.0729049784. The cubic root of 8416224 is about 203.4100603268.

The spelling of 8416224 in words is "eight million, four hundred sixteen thousand, two hundred twenty-four".