827160 has 64 divisors (see below), whose sum is σ = 2544480. Its totient is φ = 215040.

The previous prime is 827147. The next prime is 827161. The reversal of 827160 is 61728.

827160 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 827160.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827160.

It is not an unprimeable number, because it can be changed into a prime (827161) by changing a digit.

827160 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, 7264 + ... + 7376.

2⁸²⁷¹⁶⁰ 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 827160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272240).

827160 is an abundant number, since it is smaller than the sum of its proper divisors (1717320).

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

827160 is a wasteful number, since it uses less digits than its factorization.

827160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 827160 is about 909.4833698315. The cubic root of 827160 is about 93.8706535446.

Adding to 827160 its reverse (61728), we get a palindrome (888888).

The spelling of 827160 in words is "eight hundred twenty-seven thousand, one hundred sixty".