8232192 has 90 divisors (see below), whose sum is σ = 24608738. Its totient is φ = 2737152.

The previous prime is 8232181. The next prime is 8232197. The reversal of 8232192 is 2912328.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 746496 = 2736^2 + 864^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8232197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20538 + ... + 20934.

Almost surely, 2^8232192 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 8232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304369).

8232192 is an abundant number, since it is smaller than the sum of its proper divisors (16376546).

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

8232192 is an equidigital number, since it uses as much as digits as its factorization.

8232192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8232192 is about 2869.1796737047. The cubic root of 8232192 is about 201.9165096263.

The spelling of 8232192 in words is "eight million, two hundred thirty-two thousand, one hundred ninety-two".