846321120 has 288 divisors, whose sum is σ = 2993451552. Its totient is φ = 217645056.

The previous prime is 846321109. The next prime is 846321121. The reversal of 846321120 is 21123648.

846321120 is a `hidden beast` number, since 8 + 4 + 632 + 1 + 1 + 20 = 666.

846321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846321121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8724912 + ... + 8725008.

It is an arithmetic number, because the mean of its divisors is an integer number (10393929).

Almost surely, 2^846321120 is an apocalyptic number.

846321120 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 846321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496725776).

846321120 is an abundant number, since it is smaller than the sum of its proper divisors (2147130432).

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

846321120 is a wasteful number, since it uses less digits than its factorization.

846321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 846321120 is about 29091.5987872788. The cubic root of 846321120 is about 945.8996387801.

Adding to 846321120 its reverse (21123648), we get a palindrome (867444768).

The spelling of 846321120 in words is "eight hundred forty-six million, three hundred twenty-one thousand, one hundred twenty".