823326120 has 240 divisors, whose sum is σ = 2853550260. Its totient is φ = 212875776.

The previous prime is 823326067. The next prime is 823326121. The reversal of 823326120 is 21623328.

It can be written as a sum of positive squares in 2 ways, for example, as 822198276 + 1127844 = 28674^2 + 1062^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (823326121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11278404 + ... + 11278476.

Almost surely, 2^823326120 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 823326120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426775130).

823326120 is an abundant number, since it is smaller than the sum of its proper divisors (2030224140).

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

823326120 is a wasteful number, since it uses less digits than its factorization.

823326120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 823326120 is about 28693.6599268898. The cubic root of 823326120 is about 937.2539898499.

Adding to 823326120 its reverse (21623328), we get a palindrome (844949448).

The spelling of 823326120 in words is "eight hundred twenty-three million, three hundred twenty-six thousand, one hundred twenty".