846106560 has 504 divisors, whose sum is σ = 3359481216. Its totient is φ = 201553920.

The previous prime is 846106517. The next prime is 846106561. The reversal of 846106560 is 65601648.

846106560 is a `hidden beast` number, since 84 + 6 + 10 + 6 + 560 = 666.

846106560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846106561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27293745 + ... + 27293775.

Almost surely, 2^846106560 is an apocalyptic number.

846106560 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 846106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679740608).

846106560 is an abundant number, since it is smaller than the sum of its proper divisors (2513374656).

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

846106560 is an equidigital number, since it uses as much as digits as its factorization.

846106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 846106560 is about 29087.9108909526. The cubic root of 846106560 is about 945.8196969491.

The spelling of 846106560 in words is "eight hundred forty-six million, one hundred six thousand, five hundred sixty".