10820096 has 40 divisors (see below), whose sum is σ = 24715680. Its totient is φ = 4635648.

The previous prime is 10820093. The next prime is 10820099. The reversal of 10820096 is 69002801.

It is an interprime number because it is at equal distance from previous prime (10820093) and next prime (10820099).

It is not an unprimeable number, because it can be changed into a prime (10820093) 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 3 ways as a sum of consecutive naturals, for example, 2075 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (617892).

Almost surely, 2^10820096 is an apocalyptic number.

10820096 is a gapful number since it is divisible by the number (16) 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 10820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12357840).

10820096 is an abundant number, since it is smaller than the sum of its proper divisors (13895584).

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

10820096 is an frugal number, since it uses more digits than its factorization.

10820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10820096 is about 3289.3914330769. The cubic root of 10820096 is about 221.1789055200.

Adding to 10820096 its reverse (69002801), we get a palindrome (79822897).

The spelling of 10820096 in words is "ten million, eight hundred twenty thousand, ninety-six".