820096 has 32 divisors (see below), whose sum is σ = 1683000. Its totient is φ = 397824.

The previous prime is 820093. The next prime is 820109. The reversal of 820096 is 690028.

820096 = T₄₃ + T₄₄ + ... + T₁₇₀.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 820096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5430 + ... + 5578.

2⁸²⁰⁰⁹⁶ is an apocalyptic number.

820096 is a gapful number since it is divisible by the number (86) 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 820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841500).

820096 is an abundant number, since it is smaller than the sum of its proper divisors (862904).

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

820096 is a wasteful number, since it uses less digits than its factorization.

820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 820096 is about 905.5915193949. The cubic root of 820096 is about 93.6026687334.

The spelling of 820096 in words is "eight hundred twenty thousand, ninety-six".