8848224 has 288 divisors, whose sum is σ = 34473600. Its totient is φ = 2177280.

The previous prime is 8848201. The next prime is 8848247. The reversal of 8848224 is 4228488.

8848224 = T₃₇₅ + T₃₇₆ + ... + T₄₇₂.

It is an interprime number because it is at equal distance from previous prime (8848201) and next prime (8848247).

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465687 + ... + 465705.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^8848224 is an apocalyptic number.

8848224 is a gapful number since it is divisible by the number (84) 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 8848224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

8848224 is an abundant number, since it is smaller than the sum of its proper divisors (25625376).

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

8848224 is a wasteful number, since it uses less digits than its factorization.

8848224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 8848224 is about 2974.5964432171. The cubic root of 8848224 is about 206.8324626323.

The spelling of 8848224 in words is "eight million, eight hundred forty-eight thousand, two hundred twenty-four".