845876160 has 168 divisors, whose sum is σ = 2931779760. Its totient is φ = 223838208.

The previous prime is 845876113. The next prime is 845876173. The reversal of 845876160 is 61678548.

It is a happy number.

845876160 is a `hidden beast` number, since 8 + 4 + 587 + 6 + 1 + 60 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 399264 + ... + 401376.

It is an arithmetic number, because the mean of its divisors is an integer number (17451070).

Almost surely, 2^845876160 is an apocalyptic number.

845876160 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 845876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465889880).

845876160 is an abundant number, since it is smaller than the sum of its proper divisors (2085903600).

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

845876160 is a wasteful number, since it uses less digits than its factorization.

845876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 845876160 is about 29083.9502131330. The cubic root of 845876160 is about 945.7338383227.

The spelling of 845876160 in words is "eight hundred forty-five million, eight hundred seventy-six thousand, one hundred sixty".