845811564 has 192 divisors, whose sum is σ = 2345226240. Its totient is φ = 235146240.

The previous prime is 845811553. The next prime is 845811607. The reversal of 845811564 is 465118548.

845811564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×845811564² = 1430794403592252192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5188947 + ... + 5189109.

It is an arithmetic number, because the mean of its divisors is an integer number (12214720).

Almost surely, 2^845811564 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 845811564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172613120).

845811564 is an abundant number, since it is smaller than the sum of its proper divisors (1499414676).

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

845811564 is a wasteful number, since it uses less digits than its factorization.

845811564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its digits is 153600, while the sum is 42.

The square root of 845811564 is about 29082.8396825344. The cubic root of 845811564 is about 945.7097638064.

The spelling of 845811564 in words is "eight hundred forty-five million, eight hundred eleven thousand, five hundred sixty-four".