823360 has 56 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 314880.

The previous prime is 823357. The next prime is 823373. The reversal of 823360 is 63328.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9879 + ... + 9961.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2⁸²³³⁶⁰ is an apocalyptic number.

823360 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 823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

823360 is an abundant number, since it is smaller than the sum of its proper divisors (1224896).

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

823360 is a wasteful number, since it uses less digits than its factorization.

823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 823360 is about 907.3918668359. The cubic root of 823360 is about 93.7266845724.

Adding to 823360 its reverse (63328), we get a palindrome (886688).

The spelling of 823360 in words is "eight hundred twenty-three thousand, three hundred sixty".