845120 has 56 divisors (see below), whose sum is σ = 2133600. Its totient is φ = 317952.

The previous prime is 845111. The next prime is 845129. The reversal of 845120 is 21548.

It is an interprime number because it is at equal distance from previous prime (845111) and next prime (845129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 845092 and 845101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845129) by changing a digit.

845120 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 7 ways as a sum of consecutive naturals, for example, 6011 + ... + 6149.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2⁸⁴⁵¹²⁰ is an apocalyptic number.

845120 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 845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066800).

845120 is an abundant number, since it is smaller than the sum of its proper divisors (1288480).

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

845120 is a wasteful number, since it uses less digits than its factorization.

845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 845120 is about 919.3040846205. The cubic root of 845120 is about 94.5451945483.

Adding to 845120 its reverse (21548), we get a palindrome (866668).

The spelling of 845120 in words is "eight hundred forty-five thousand, one hundred twenty".