823140 has 72 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 205824.

The previous prime is 823129. The next prime is 823153. The reversal of 823140 is 41328.

It is a happy number.

823140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 788544 = 186^2 + 888^2 .

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

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

823140 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 23 ways as a sum of consecutive naturals, for example, 2926 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁸²³¹⁴⁰ 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 823140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

823140 is an abundant number, since it is smaller than the sum of its proper divisors (1830420).

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

823140 is a wasteful number, since it uses less digits than its factorization.

823140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 823140 is about 907.2706321710. The cubic root of 823140 is about 93.7183359734.

Adding to 823140 its reverse (41328), we get a palindrome (864468).

The spelling of 823140 in words is "eight hundred twenty-three thousand, one hundred forty".