8232120 has 96 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 2025216.

The previous prime is 8232113. The next prime is 8232121. The reversal of 8232120 is 212328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8232093 and 8232102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8232121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3801 + ... + 5559.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^8232120 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 8232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

8232120 is an abundant number, since it is smaller than the sum of its proper divisors (20596680).

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

8232120 is a wasteful number, since it uses less digits than its factorization.

8232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8232120 is about 2869.1671265369. The cubic root of 8232120 is about 201.9159209604.

Adding to 8232120 its reverse (212328), we get a palindrome (8444448).

The spelling of 8232120 in words is "eight million, two hundred thirty-two thousand, one hundred twenty".