846870816 has 192 divisors, whose sum is σ = 2515193856. Its totient is φ = 247296000.

The previous prime is 846870799. The next prime is 846870823. The reversal of 846870816 is 618078648.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5608341 + ... + 5608491.

It is an arithmetic number, because the mean of its divisors is an integer number (13099968).

Almost surely, 2^846870816 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 846870816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257596928).

846870816 is an abundant number, since it is smaller than the sum of its proper divisors (1668323040).

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

846870816 is a wasteful number, since it uses less digits than its factorization.

846870816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 846870816 is about 29101.0449296928. The cubic root of 846870816 is about 946.1043856165.

The spelling of 846870816 in words is "eight hundred forty-six million, eight hundred seventy thousand, eight hundred sixteen".