827120 has 60 divisors (see below), whose sum is σ = 2247624. Its totient is φ = 282240.

The previous prime is 827087. The next prime is 827129. The reversal of 827120 is 21728.

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

It is a junction number, because it is equal to n+sod(n) for n = 827092 and 827101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827129) by changing a digit.

827120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3815 + ... + 4025.

2⁸²⁷¹²⁰ is an apocalyptic number.

827120 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 827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123812).

827120 is an abundant number, since it is smaller than the sum of its proper divisors (1420504).

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

827120 is a wasteful number, since it uses less digits than its factorization.

827120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 827120 is about 909.4613790591. The cubic root of 827120 is about 93.8691403805.

Adding to 827120 its reverse (21728), we get a palindrome (848848).

The spelling of 827120 in words is "eight hundred twenty-seven thousand, one hundred twenty".