821703168 has 480 divisors, whose sum is σ = 2949186240. Its totient is φ = 216760320.

The previous prime is 821703167. The next prime is 821703173. The reversal of 821703168 is 861307128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (821703167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19109355 + ... + 19109397.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2^821703168 is an apocalyptic number.

821703168 is a gapful number since it is divisible by the number (88) 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 821703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474593120).

821703168 is an abundant number, since it is smaller than the sum of its proper divisors (2127483072).

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

821703168 is a wasteful number, since it uses less digits than its factorization.

821703168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 821703168 is about 28665.3653037948. The cubic root of 821703168 is about 936.6377420150.

The spelling of 821703168 in words is "eight hundred twenty-one million, seven hundred three thousand, one hundred sixty-eight".