846817920 has 384 divisors, whose sum is σ = 3234591360. Its totient is φ = 202825728.

The previous prime is 846817919. The next prime is 846817931. The reversal of 846817920 is 29718648.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 3219709 + ... + 3219971.

It is an arithmetic number, because the mean of its divisors is an integer number (8423415).

Almost surely, 2^846817920 is an apocalyptic number.

846817920 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 846817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617295680).

846817920 is an abundant number, since it is smaller than the sum of its proper divisors (2387773440).

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

846817920 is a wasteful number, since it uses less digits than its factorization.

846817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 846817920 is about 29100.1360821560. The cubic root of 846817920 is about 946.0846871459.

The spelling of 846817920 in words is "eight hundred forty-six million, eight hundred seventeen thousand, nine hundred twenty".