845600 has 72 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 288000.

The previous prime is 845599. The next prime is 845623. The reversal of 845600 is 6548.

845600 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5525 + ... + 5675.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁸⁴⁵⁶⁰⁰ is an apocalyptic number.

845600 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 845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

845600 is an abundant number, since it is smaller than the sum of its proper divisors (1529248).

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

845600 is a wasteful number, since it uses less digits than its factorization.

845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 845600 is about 919.5651146058. The cubic root of 845600 is about 94.5630906674.

The spelling of 845600 in words is "eight hundred forty-five thousand, six hundred".