823132160 has 84 divisors (see below), whose sum is σ = 1988099148. Its totient is φ = 327155712.

The previous prime is 823132157. The next prime is 823132183. The reversal of 823132160 is 61231328.

It can be written as a sum of positive squares in 2 ways, for example, as 268435456 + 554696704 = 16384^2 + 23552^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5242802 + ... + 5242958.

It is an arithmetic number, because the mean of its divisors is an integer number (23667847).

Almost surely, 2^823132160 is an apocalyptic number.

823132160 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 823132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994049574).

823132160 is an abundant number, since it is smaller than the sum of its proper divisors (1164966988).

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

823132160 is an frugal number, since it uses more digits than its factorization.

823132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 823132160 is about 28690.2798870977. The cubic root of 823132160 is about 937.1803843220.

Adding to 823132160 its reverse (61231328), we get a palindrome (884363488).

The spelling of 823132160 in words is "eight hundred twenty-three million, one hundred thirty-two thousand, one hundred sixty".