8212320 has 96 divisors (see below), whose sum is σ = 28758240. Its totient is φ = 2188800.

The previous prime is 8212291. The next prime is 8212333. The reversal of 8212320 is 232128.

It is a happy number.

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

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 = 8212293 and 8212302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3370 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (299565).

Almost surely, 2^8212320 is an apocalyptic number.

8212320 is a gapful number since it is divisible by the number (80) 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 8212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379120).

8212320 is an abundant number, since it is smaller than the sum of its proper divisors (20545920).

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

8212320 is a wasteful number, since it uses less digits than its factorization.

8212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1911 counting only the distinct ones).

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

The square root of 8212320 is about 2865.7145705740. The cubic root of 8212320 is about 201.7539074159.

Subtracting from 8212320 its product of nonzero digits (192), we obtain a palindrome (8212128).

Adding to 8212320 its reverse (232128), we get a palindrome (8444448).

The spelling of 8212320 in words is "eight million, two hundred twelve thousand, three hundred twenty".