823686960 has 80 divisors (see below), whose sum is σ = 2559836160. Its totient is φ = 219098880.

The previous prime is 823686953. The next prime is 823686961. The reversal of 823686960 is 69686328.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (823686961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96465 + ... + 104655.

It is an arithmetic number, because the mean of its divisors is an integer number (31997952).

Almost surely, 2^823686960 is an apocalyptic number.

823686960 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 823686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279918080).

823686960 is an abundant number, since it is smaller than the sum of its proper divisors (1736149200).

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

823686960 is a wasteful number, since it uses less digits than its factorization.

823686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 823686960 is about 28699.9470382787. The cubic root of 823686960 is about 937.3908936138.

The spelling of 823686960 in words is "eight hundred twenty-three million, six hundred eighty-six thousand, nine hundred sixty".