820896 has 48 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 257024.

The previous prime is 820891. The next prime is 820901. The reversal of 820896 is 698028.

820896 = 298² + 299² + ... + 306².

It is an interprime number because it is at equal distance from previous prime (820891) and next prime (820901).

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (820891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1381 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2⁸²⁰⁸⁹⁶ 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 820896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

820896 is an abundant number, since it is smaller than the sum of its proper divisors (1465248).

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

820896 is a wasteful number, since it uses less digits than its factorization.

820896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 820896 is about 906.0331119777. The cubic root of 820896 is about 93.6330951709.

The spelling of 820896 in words is "eight hundred twenty thousand, eight hundred ninety-six".