8226432 has 96 divisors (see below), whose sum is σ = 24438180. Its totient is φ = 2654208.

The previous prime is 8226431. The next prime is 8226451. The reversal of 8226432 is 2346228.

8226432 is a `hidden beast` number, since 8 + 226 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 69696 = 2856^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 8226396 and 8226405.

It is not an unprimeable number, because it can be changed into a prime (8226431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42528 + ... + 42720.

Almost surely, 2^8226432 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 8226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219090).

8226432 is an abundant number, since it is smaller than the sum of its proper divisors (16211748).

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

8226432 is a wasteful number, since it uses less digits than its factorization.

8226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 8226432 is about 2868.1757268340. The cubic root of 8226432 is about 201.8694055072.

The spelling of 8226432 in words is "eight million, two hundred twenty-six thousand, four hundred thirty-two".