8638224 has 80 divisors (see below), whose sum is σ = 26093568. Its totient is φ = 2411136.

The previous prime is 8638219. The next prime is 8638229. The reversal of 8638224 is 4228368.

It is an interprime number because it is at equal distance from previous prime (8638219) and next prime (8638229).

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

It is not an unprimeable number, because it can be changed into a prime (8638229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15519 + ... + 16065.

Almost surely, 2^8638224 is an apocalyptic number.

8638224 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 8638224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13046784).

8638224 is an abundant number, since it is smaller than the sum of its proper divisors (17455344).

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

8638224 is a wasteful number, since it uses less digits than its factorization.

8638224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8638224 is about 2939.0855720785. The cubic root of 8638224 is about 205.1830528355.

The spelling of 8638224 in words is "eight million, six hundred thirty-eight thousand, two hundred twenty-four".