853105320 has 192 divisors, whose sum is σ = 2938291200. Its totient is φ = 214064640.

The previous prime is 853105277. The next prime is 853105349. The reversal of 853105320 is 23501358.

853105320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306114 + ... + 1306766.

It is an arithmetic number, because the mean of its divisors is an integer number (15303600).

Almost surely, 2^853105320 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 853105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469145600).

853105320 is an abundant number, since it is smaller than the sum of its proper divisors (2085185880).

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

853105320 is a wasteful number, since it uses less digits than its factorization.

853105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 853105320 is about 29207.9667214272. The cubic root of 853105320 is about 948.4203925156.

Adding to 853105320 its reverse (23501358), we get a palindrome (876606678).

The spelling of 853105320 in words is "eight hundred fifty-three million, one hundred five thousand, three hundred twenty".