8956224 has 112 divisors (see below), whose sum is σ = 27066240. Its totient is φ = 2903040.

The previous prime is 8956219. The next prime is 8956231. The reversal of 8956224 is 4226598.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8² + 9⁶ + 5⁶ + 6 + 2¹⁴ + 2²³ + 4⁶ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122652 + ... + 122724.

Almost surely, 2^8956224 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 8956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533120).

8956224 is an abundant number, since it is smaller than the sum of its proper divisors (18110016).

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

8956224 is a wasteful number, since it uses less digits than its factorization.

8956224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 8956224 is about 2992.6951064216. The cubic root of 8956224 is about 207.6705831028.

It can be divided in two parts, 8956 and 224, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8956224 in words is "eight million, nine hundred fifty-six thousand, two hundred twenty-four".