843268320 has 432 divisors, whose sum is σ = 3195711792. Its totient is φ = 209848320.

The previous prime is 843268301. The next prime is 843268367. The reversal of 843268320 is 23862348.

843268320 is a `hidden beast` number, since 8 + 4 + 326 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×843268320² = 1422202919031244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20567500 + ... + 20567540.

It is an arithmetic number, because the mean of its divisors is an integer number (7397481).

Almost surely, 2^843268320 is an apocalyptic number.

843268320 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 843268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597855896).

843268320 is an abundant number, since it is smaller than the sum of its proper divisors (2352443472).

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

843268320 is a wasteful number, since it uses less digits than its factorization.

843268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 843268320 is about 29039.0826301383. The cubic root of 843268320 is about 944.7609372603.

The spelling of 843268320 in words is "eight hundred forty-three million, two hundred sixty-eight thousand, three hundred twenty".