821968 has 40 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 341760.

The previous prime is 821941. The next prime is 821971. The reversal of 821968 is 869128.

It is a congruent number.

It is an unprimeable number.

821968 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 7 ways as a sum of consecutive naturals, for example, 4503 + ... + 4681.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁸²¹⁹⁶⁸ 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 821968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

821968 is an abundant number, since it is smaller than the sum of its proper divisors (1052912).

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

821968 is a wasteful number, since it uses less digits than its factorization.

821968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 821968 is about 906.6245088238. The cubic root of 821968 is about 93.6738356208.

The spelling of 821968 in words is "eight hundred twenty-one thousand, nine hundred sixty-eight".