846398896 has 80 divisors (see below), whose sum is σ = 1989158400. Its totient is φ = 341028864.

The previous prime is 846398893. The next prime is 846398899. The reversal of 846398896 is 698893648.

It is an interprime number because it is at equal distance from previous prime (846398893) and next prime (846398899).

It is not an unprimeable number, because it can be changed into a prime (846398893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149200 + ... + 154768.

It is an arithmetic number, because the mean of its divisors is an integer number (24864480).

Almost surely, 2^846398896 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 846398896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994579200).

846398896 is an abundant number, since it is smaller than the sum of its proper divisors (1142759504).

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

846398896 is a wasteful number, since it uses less digits than its factorization.

846398896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5660 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 61.

The square root of 846398896 is about 29092.9354998769. The cubic root of 846398896 is about 945.9286136121.

The spelling of 846398896 in words is "eight hundred forty-six million, three hundred ninety-eight thousand, eight hundred ninety-six".