821160 has 48 divisors (see below), whose sum is σ = 2669940. Its totient is φ = 218880.

The previous prime is 821153. The next prime is 821167. The reversal of 821160 is 61128.

It is an interprime number because it is at equal distance from previous prime (821153) and next prime (821167).

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 324 = 906^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821167) by changing a digit.

821160 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 11 ways as a sum of consecutive naturals, for example, 781 + ... + 1500.

2⁸²¹¹⁶⁰ is an apocalyptic number.

It is an amenable number.

821160 is an abundant number, since it is smaller than the sum of its proper divisors (1848780).

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

821160 is a wasteful number, since it uses less digits than its factorization.

821160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 821160 is about 906.1787903058. The cubic root of 821160 is about 93.6431315571.

Adding to 821160 its reverse (61128), we get a palindrome (882288).

The spelling of 821160 in words is "eight hundred twenty-one thousand, one hundred sixty".