846896960 has 224 divisors, whose sum is σ = 2512527360. Its totient is φ = 264757248.

The previous prime is 846896929. The next prime is 846896969. The reversal of 846896960 is 69698648.

846896960 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 846896896 and 846896905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846896969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3698126 + ... + 3698354.

It is an arithmetic number, because the mean of its divisors is an integer number (11216640).

Almost surely, 2^846896960 is an apocalyptic number.

846896960 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 846896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256263680).

846896960 is an abundant number, since it is smaller than the sum of its proper divisors (1665630400).

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

846896960 is a wasteful number, since it uses less digits than its factorization.

846896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The square root of 846896960 is about 29101.4941197183. The cubic root of 846896960 is about 946.1141213393.

The spelling of 846896960 in words is "eight hundred forty-six million, eight hundred ninety-six thousand, nine hundred sixty".