845580 has 48 divisors (see below), whose sum is σ = 2509920. Its totient is φ = 211968.

The previous prime is 845567. The next prime is 845599. The reversal of 845580 is 85548.

845580 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 (30).

It is a zygodrome in base 2.

It is an unprimeable number.

845580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (52290).

2⁸⁴⁵⁵⁸⁰ 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 845580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254960).

845580 is an abundant number, since it is smaller than the sum of its proper divisors (1664340).

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

845580 is a wasteful number, since it uses less digits than its factorization.

845580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 845580 is about 919.5542398358. The cubic root of 845580 is about 94.5623451310.

The spelling of 845580 in words is "eight hundred forty-five thousand, five hundred eighty".