845672256 has 168 divisors, whose sum is σ = 2848014624. Its totient is φ = 236528640.

The previous prime is 845672251. The next prime is 845672263. The reversal of 845672256 is 652276548.

845672256 is a `hidden beast` number, since 84 + 567 + 2 + 2 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845672251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77235 + ... + 87501.

It is an arithmetic number, because the mean of its divisors is an integer number (16952468).

Almost surely, 2^845672256 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 845672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424007312).

845672256 is an abundant number, since it is smaller than the sum of its proper divisors (2002342368).

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

845672256 is a wasteful number, since it uses less digits than its factorization.

845672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10309 (or 10296 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 845672256 is about 29080.4445633144. Note that the first 3 decimals coincide. The cubic root of 845672256 is about 945.6578404328.

The spelling of 845672256 in words is "eight hundred forty-five million, six hundred seventy-two thousand, two hundred fifty-six".